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Finite determining parameters feedback control for distributed nonlinear dissipative systems - a computational study

Evolution Equations and Control Theory  Volume 6, Issue 4, Pages : 535 - 557, 2017

Evelyn Lunasin - (email), Edriss S. Titi - (email)

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On a distributed control problem for a coupled chemotaxis-fluid model

Discrete and Continuous Dynamical Systems - Series B  Volume 22, Issue 5, Pages : 15 - 15, 2017

M. Ángeles Rodríguez-Bellido - (email), Diego A. Rueda-Gómez - (email), Élder J. Villamizar-Roa - (email)

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Global regularity for a model of Navier-Stokes equations with logarithmic sub-dissipation

Kinetic and Related Models  Volume 11, Issue 1, Pages : 179 - 190, 2017

Shuguang Shao - (email), Shu Wang - (email), Wen-Qing Xu - (email)

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Long-time dynamics for a class of extensible beams with nonlocal nonlinear damping

Evolution Equations and Control Theory  Volume 6, Issue 3, Pages : 437 - 470, 2017

Marcio Antonio Jorge da Silva - (email), Vando Narciso - (email)

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The almost unconditional convergence of the Euler implicit/explicit scheme for the three dimensional nonstationary Navier-Stokes equations

Discrete and Continuous Dynamical Systems - Series B  Volume 22, Issue 9, Pages : 3421 - 3438, 2017

Jian Su - (email), Yinnian He - (email)

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The 3D liquid crystal system with Cannone type initial data and large vertical velocity

Discrete and Continuous Dynamical Systems  Volume 37, Issue 11, Pages : 5521 - 5539, 2017

Renhui Wan - (email)

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Well-posed Bayesian inverse problems and heavy-tailed stable quasi-Banach space priors

Inverse Problems and Imaging  Volume 11, Issue 5, Pages : 857 - 874, 2017

T. J. Sullivan - (email)

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Strichartz estimates for Schrödinger equations in weighted $L^2$ spaces and their applications

Discrete and Continuous Dynamical Systems  Volume 37, Issue 9, Pages : 4877 - 4906, 2017

Youngwoo Koh - (email), Ihyeok Seo - (email)

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Stress-diffusive regularizations of non-dissipative rate-type materials

Discrete and Continuous Dynamical Systems - Series S  Volume 10, Issue 6, Pages : 1233 - 1256, 2017

Jan Burczak - (email), Josef Málek - (email), Piotr Minakowski - (email)

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Local well-posedness for 2-D Schrödinger equation on irrational tori and bounds on Sobolev norms

Communications on Pure and Applied Analysis  Volume 16, Issue 5, Pages : 1517 - 1530, 2017

Seckin Demirbas - (email)

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A surface model of nonlinear, non-steady-state phloem transport

Mathematical Biosciences and Engineering  Volume 14, Issue 4, Pages : 1055 - 1069, 2017

Youcef Mammeri - (email), Damien Sellier - (email)

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Fractional Navier-Stokes equations

Discrete and Continuous Dynamical Systems - Series B  Volume 22, Issue 5, Pages : 29 - 29, 2017

Jan W. Cholewa - (email), Tomasz Dlotko - (email)

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Analysis of a Cahn--Hilliard system with non-zero Dirichlet conditions modeling tumor growth with chemotaxis

Discrete and Continuous Dynamical Systems  Volume 37, Issue 8, Pages : 4277 - 4308, 2017

Harald Garcke - (email), Kei Fong Lam - (email)

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Feedback boundary stabilization of 2D fluid-structure interaction systems

Discrete and Continuous Dynamical Systems  Volume 37, Issue 5, Pages : 2315 - 2373, 2017

Mehdi Badra - (email), Takéo Takahashi - (email)

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On the decay and stability of global solutions to the 3D inhomogeneous MHD system

Communications on Pure and Applied Analysis  Volume 16, Issue 3, Pages : 745 - 780, 2017

Junxiong Jia - (email), Jigen Peng - (email), Kexue Li - (email)

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Analysis of a nonlocal-in-time parabolic equation

Discrete and Continuous Dynamical Systems - Series B  Volume 22, Issue 2, Pages : 339 - 368, 2016

Qiang Du - (email), Jiang Yang - (email), Zhi Zhou - (email)

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A remark on the partial regularity of a suitable weak solution to the Navier-Stokes Cauchy problem

Discrete and Continuous Dynamical Systems  Volume 37, Issue 3, Pages : 1283 - 1294, 2016

Francesca Crispo - (email), Paolo Maremonti - (email)

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Dynamical canonical systems and their explicit solutions

Discrete and Continuous Dynamical Systems  Volume 37, Issue 3, Pages : 1679 - 1689, 2016

Alexander Sakhnovich - (email)

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Asymptotic preserving and time diminishing schemes for rarefied gas dynamic

Kinetic and Related Models  Volume 10, Issue 3, Pages : 643 - 668, 2016

Nicolas Crouseilles - (email), Giacomo Dimarco - (email), Mohammed Lemou - (email)

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Regularity of 3D axisymmetric Navier-Stokes equations

Discrete and Continuous Dynamical Systems  Volume 37, Issue 4, Pages : 1923 - 1939, 2016

Hui Chen - (email), Daoyuan Fang - (email), Ting Zhang - (email)

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Global well-posedness for the 3D Zakharov-Kuznetsov equation in energy space $H^1$

Discrete and Continuous Dynamical Systems - Series S  Volume 9, Issue 6, Pages : 1797 - 1851, 2016

Zhaohi Huo - (email), Yueling Jia - (email), Qiaoxin Li - (email)

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Nonlinear Rayleigh-Taylor instability for nonhomogeneous incompressible viscous magnetohydrodynamic flows

Discrete and Continuous Dynamical Systems - Series S  Volume 9, Issue 6, Pages : 1853 - 1898, 2016

Fei Jiang - (email), Song Jiang - (email), Weiwei Wang - (email)

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Blow-up criteria of smooth solutions to the three-dimensional micropolar fluid equations in Besov space

Discrete and Continuous Dynamical Systems - Series S  Volume 9, Issue 6, Pages : 2167 - 2179, 2016

Baoquan Yuan - (email), Xiao Li - (email)

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Global weak solution to 3D compressible flows with density-dependent viscosity and free boundary

Communications on Pure and Applied Analysis  Volume 16, Issue 1, Pages : 1 - 23, 2016

Mei Wang - (email), Zilai Li - (email), Zhenhua Guo - (email)

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Global well posedness for the ghost effect system

Communications on Pure and Applied Analysis  Volume 16, Issue 1, Pages : 345 - 368, 2016

Bilal Al Taki - (email)

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About interface conditions for coupling hydrostatic and nonhydrostatic Navier-Stokes flows

Discrete and Continuous Dynamical Systems - Series S  Volume 9, Issue 5, Pages : 1565 - 1574, 2016

Eric Blayo - (email), Antoine Rousseau - (email)

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A local asymptotic expansion for a solution of the Stokes system

Evolution Equations and Control Theory  Volume 5, Issue 4, Pages : 647 - 659, 2016

Güher Çamliyurt - (email), Igor Kukavica - (email)

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Statistical properties of stochastic 2D Navier-Stokes equations from linear models

Discrete and Continuous Dynamical Systems - Series B  Volume 21, Issue 9, Pages : 2927 - 2947, 2016

Hakima Bessaih - (email), Benedetta Ferrario - (email)

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Stability estimates for Navier-Stokes equations and application to inverse problems

Discrete and Continuous Dynamical Systems - Series B  Volume 21, Issue 8, Pages : 2379 - 2407, 2016

Mehdi Badra - (email), Fabien Caubet - (email), Jérémi Dardé - (email)

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Well-posedness for the Cauchy problem of the Klein-Gordon-Zakharov system in four and more spatial dimensions

Communications on Pure and Applied Analysis  Volume 15, Issue 6, Pages : 2247 - 2280, 2016

Isao Kato - (email)

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Steady state solutions of ferrofluid flow models

Communications on Pure and Applied Analysis  Volume 15, Issue 6, Pages : 2329 - 2355, 2016

Youcef Amirat - (email), Kamel Hamdache - (email)

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The shape derivative for an optimization problem in lithotripsy

Evolution Equations and Control Theory  Volume 5, Issue 3, Pages : 399 - 430, 2016

Barbara Kaltenbacher - (email), Gunther Peichl - (email)

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Longtime behavior of the semilinear wave equation with gentle dissipation

Discrete and Continuous Dynamical Systems  Volume 36, Issue 11, Pages : 6557 - 6580, 2016

Zhijian Yang - (email), Zhiming Liu - (email), Na Feng - (email)

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Distributionally chaotic families of operators on Fréchet spaces

Communications on Pure and Applied Analysis  Volume 15, Issue 5, Pages : 1915 - 1939, 2016

J. Alberto Conejero - (email), Marko Kostić - (email), Pedro J. Miana - (email), Marina Murillo-Arcila - (email)

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Well-posedness and optimal control of a hemivariational inequality for nonstationary Stokes fluid flow

Discrete and Continuous Dynamical Systems  Volume 36, Issue 10, Pages : 5369 - 5386, 2016

Changjie Fang - (email), Weimin Han - (email)

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On the global well-posedness to the 3-D incompressible anisotropic magnetohydrodynamics equations

Discrete and Continuous Dynamical Systems  Volume 36, Issue 10, Pages : 5801 - 5815, 2016

Gaocheng Yue - (email), Chengkui Zhong - (email)

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On the global well-posedness to the 3-D Navier-Stokes-Maxwell system

Discrete and Continuous Dynamical Systems  Volume 36, Issue 10, Pages : 5817 - 5835, 2016

Gaocheng Yue - (email), Chengkui Zhong - (email)

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Partial exact controllability for inhomogeneous multidimensional thermoelastic diffusion problem

Evolution Equations and Control Theory  Volume 5, Issue 2, Pages : 201 - 224, 2016

Moncef Aouadi - (email), Kaouther Boulehmi - (email)

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On the viscous Cahn-Hilliard-Navier-Stokes equations with dynamic boundary conditions

Communications on Pure and Applied Analysis  Volume 15, Issue 4, Pages : 1419 - 1449, 2016

Laurence Cherfils - (email), Madalina Petcu - (email)

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Existence of solutions for anisotropic Cahn-Hilliard and Allen-Cahn systems in higher space dimensions

Discrete and Continuous Dynamical Systems - Series S  Volume 9, Issue 3, Pages : 759 - 775, 2016

Ahmad Makki - (email), Alain Miranville - (email)

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Global well-posedness of axisymmetric Navier-Stokes equations with one slow variable

Discrete and Continuous Dynamical Systems  Volume 36, Issue 7, Pages : 3845 - 3856, 2016

Weimin Peng - (email), Yi Zhou - (email)

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Numerical algorithms for stationary statistical properties of dissipative dynamical systems

Discrete and Continuous Dynamical Systems  Volume 36, Issue 8, Pages : 4599 - 4618, 2016

Xiaoming Wang - (email)

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Global well-posedness and asymptotic behavior of solutions to a reaction-convection-diffusion cholera epidemic model

Discrete and Continuous Dynamical Systems - Series B  Volume 21, Issue 4, Pages : 1297 - 1316, 2016

Kazuo Yamazaki - (email), Xueying Wang - (email)

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Well-posedness and scattering for fourth order nonlinear Schrödinger type equations at the scaling critical regularity

Communications on Pure and Applied Analysis  Volume 15, Issue 3, Pages : 831 - 851, 2016

Hiroyuki Hirayama - (email), Mamoru Okamoto - (email)

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Global well-posedness for a fourth order pseudo-parabolic equation with memory and source terms

Discrete and Continuous Dynamical Systems - Series B  Volume 21, Issue 3, Pages : 781 - 801, 2016

Huafei Di - (email), Yadong Shang - (email), Xiaoxiao Zheng - (email)

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A survey on Navier-Stokes models with delays: Existence, uniqueness and asymptotic behavior of solutions

Discrete and Continuous Dynamical Systems - Series S  Volume 8, Issue 6, Pages : 1079 - 1101, 2015

Tomás Caraballo - (email), Xiaoying Han - (email)

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Large-time behavior of liquid crystal flows with a trigonometric condition in two dimensions

Communications on Pure and Applied Analysis  Volume 15, Issue 1, Pages : 73 - 90, 2015

Jishan Fan - (email), Fei Jiang - (email)

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On the Swift-Hohenberg equation with slow and fast dynamics: well-posedness and long-time behavior

Communications on Pure and Applied Analysis  Volume 15, Issue 1, Pages : 219 - 241, 2015

Andrea Giorgini - (email)

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A note on the Navier-Stokes IBVP with small data in $L^n$

Discrete and Continuous Dynamical Systems - Series S  Volume 9, Issue 1, Pages : 255 - 267, 2015

Paolo Maremonti - (email)

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On local existence of MHD contact discontinuities

Discrete and Continuous Dynamical Systems - Series S  Volume 9, Issue 1, Pages : 289 - 313, 2015

Alessandro Morando - (email), Yuri Trakhinin - (email), Paola Trebeschi - (email)

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Local well-posedness of free surface problems for the Navier-Stokes equations in a general domain

Discrete and Continuous Dynamical Systems - Series S  Volume 9, Issue 1, Pages : 315 - 342, 2015

Yoshihiro Shibata - (email)

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Global attractors for the Gray-Scott equations in locally uniform spaces

Discrete and Continuous Dynamical Systems - Series B  Volume 21, Issue 1, Pages : 337 - 356, 2015

Gaocheng Yue - (email), Chengkui Zhong - (email)

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On the Cauchy problem for the Schrödinger-Hartree equation

Evolution Equations and Control Theory  Volume 4, Issue 4, Pages : 431 - 445, 2015

Binhua Feng - (email), Xiangxia Yuan - (email)

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Mathematics of nonlinear acoustics

Evolution Equations and Control Theory  Volume 4, Issue 4, Pages : 447 - 491, 2015

Barbara Kaltenbacher - (email)

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Remark on a semirelativistic equation in the energy space

DCDS Supplements  Volume 2015, Issue special, Pages : 473 - 478, 2015

Kazumasa Fujiwara - (email), Shuji Machihara - (email), Tohru Ozawa - (email)

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Solvability of generalized nonlinear heat equations with constraints coupled with Navier--Stokes equations in 2D domains

DCDS Supplements  Volume 2015, Issue special, Pages : 1079 - 1088, 2015

Yutaka Tsuzuki - (email)

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Absorbing boundary conditions for the Westervelt equation

DCDS Supplements  Volume 2015, Issue special, Pages : 1000 - 1008, 2015

Igor Shevchenko - (email), Barbara Kaltenbacher - (email)

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Global existence of weak solution to the free boundary problem for compressible Navier-Stokes

Kinetic and Related Models  Volume 9, Issue 1, Pages : 75 - 103, 2015

Zhenhua Guo - (email), Zilai Li - (email)

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On inhomogeneous Strichartz estimates for fractional Schrödinger equations and their applications

Discrete and Continuous Dynamical Systems  Volume 36, Issue 4, Pages : 1905 - 1926, 2015

Chu-Hee Cho - (email), Youngwoo Koh - (email), Ihyeok Seo - (email)

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Upper bounds for the attractor dimension of damped Navier-Stokes equations in $\mathbb R^2$

Discrete and Continuous Dynamical Systems  Volume 36, Issue 4, Pages : 2085 - 2102, 2015

Alexei Ilyin - (email), Kavita Patni - (email), Sergey Zelik - (email)

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Numerical simulation of flow in fluidized beds

Discrete and Continuous Dynamical Systems - Series S  Volume 8, Issue 5, Pages : 833 - 846, 2015

Petr Bauer - (email), Michal Beneš - (email), Radek Fučík - (email), Hung Hoang Dieu - (email), Vladimír Klement - (email), Radek Máca - (email), Jan Mach - (email), Tomáš Oberhuber - (email), Pavel Strachota - (email), Vítězslav Žabka - (email), Vladimír Havlena - (email)

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Global well-posedness for the 3-D incompressible MHD equations in the critical Besov spaces

Communications on Pure and Applied Analysis  Volume 14, Issue 5, Pages : 1865 - 1884, 2015

Xiaoping Zhai - (email), Yongsheng Li - (email), Wei Yan - (email)

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Well-posedness for the 3D incompressible nematic liquid crystal system in the critical $L^p$ framework

Discrete and Continuous Dynamical Systems  Volume 36, Issue 1, Pages : 371 - 402, 2015

Qiao Liu - (email), Ting Zhang - (email), Jihong Zhao - (email)

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Relating systems properties of the wave and the Schrödinger equation

Evolution Equations and Control Theory  Volume 4, Issue 2, Pages : 233 - 240, 2015

Hans Zwart - (email), Yann Le Gorrec - (email), Bernhard Maschke - (email)

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Well-posedness and ill-posedness results for the regularized Benjamin-Ono equation in weighted Sobolev spaces

Communications on Pure and Applied Analysis  Volume 14, Issue 4, Pages : 1327 - 1341, 2015

G. Fonseca - (email), G. Rodríguez-Blanco - (email), W. Sandoval - (email)

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On a system of semirelativistic equations in the energy space

Communications on Pure and Applied Analysis  Volume 14, Issue 4, Pages : 1343 - 1355, 2015

Kazumasa Fujiwara - (email), Shuji Machihara - (email), Tohru Ozawa - (email)

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Remarks on the full dispersion Davey-Stewartson systems

Communications on Pure and Applied Analysis  Volume 14, Issue 4, Pages : 1547 - 1561, 2015

Caroline Obrecht - (email), J.-C. Saut - (email)

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An energy-consistent depth-averaged Euler system: Derivation and properties

Discrete and Continuous Dynamical Systems - Series B  Volume 20, Issue 4, Pages : 961 - 988, 2015

Marie-Odile Bristeau - (email), Anne Mangeney - (email), Jacques Sainte-Marie - (email), Nicolas Seguin - (email)

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Long-time behavior and weak-strong uniqueness for incompressible viscoelastic flows

Discrete and Continuous Dynamical Systems  Volume 35, Issue 8, Pages : 3437 - 3461, 2015

Xianpeng Hu - (email), Hao Wu - (email)

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Boundary layer separation of 2-D incompressible Dirichlet flows

Discrete and Continuous Dynamical Systems - Series B  Volume 20, Issue 2, Pages : 675 - 682, 2015

Quan Wang - (email), Hong Luo - (email), Tian Ma - (email)

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Pullback attractors for generalized evolutionary systems

Discrete and Continuous Dynamical Systems - Series B  Volume 20, Issue 3, Pages : 749 - 779, 2015

Alexey Cheskidov - (email), Landon Kavlie - (email)

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Well-posedness and ill-posedness for the cubic fractional Schrödinger equations

Discrete and Continuous Dynamical Systems  Volume 35, Issue 7, Pages : 2863 - 2880, 2015

Yonggeun Cho - (email), Gyeongha Hwang - (email), Soonsik Kwon - (email), Sanghyuk Lee - (email)

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73

Some well-posedness and stability results for abstract hyperbolic equations with infinite memory and distributed time delay

Communications on Pure and Applied Analysis  Volume 14, Issue 2, Pages : 457 - 491, 2014

Aissa Guesmia - (email), Nasser-eddine Tatar - (email)

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Homogenization of a thermo-diffusion system with Smoluchowski interactions

Networks and Heterogeneous Media  Volume 9, Issue 4, Pages : 739 - 762, 2014

Oleh Krehel - (email), Toyohiko Aiki - (email), Adrian Muntean - (email)

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Corrigendum of "Local well-posedness for the nonlinear Dirac equation in two space dimensions"

Communications on Pure and Applied Analysis  Volume 14, Issue 2, Pages : 737 - 742, 2014

Hartmut Pecher - (email)

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A note on the Cauchy problem of a modified Camassa-Holm equation with cubic nonlinearity

Discrete and Continuous Dynamical Systems  Volume 35, Issue 5, Pages : 2011 - 2039, 2014

Ying Fu - (email)

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77

On a Cahn-Hilliard type phase field system related to tumor growth

Discrete and Continuous Dynamical Systems  Volume 35, Issue 6, Pages : 2423 - 2442, 2014

Pierluigi Colli - (email), Gianni Gilardi - (email), Danielle Hilhorst - (email)

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Basic stage structure measure valued evolutionary game model

Mathematical Biosciences and Engineering  Volume 12, Issue 2, Pages : 291 - 310, 2014

John Cleveland - (email)

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79

$(N-1)$ velocity components condition for the generalized MHD system in $N-$dimension

Kinetic and Related Models  Volume 7, Issue 4, Pages : 779 - 792, 2014

Kazuo Yamazaki - (email)

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Feedback control of nonlinear dissipative systems by finite determining parameters - A reaction-diffusion paradigm

Evolution Equations and Control Theory  Volume 3, Issue 4, Pages : 579 - 594, 2014

Abderrahim Azouani - (email), Edriss S. Titi - (email)

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Well-posedness and asymptotic stability for the Lamé system with infinite memories in a bounded domain

Mathematical Control and Related Fields  Volume 4, Issue 4, Pages : 451 - 463, 2014

Ahmed Bchatnia - (email), Aissa Guesmia - (email)

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Analysis and simulation for an isotropic phase-field model describing grain growth

Discrete and Continuous Dynamical Systems - Series B  Volume 19, Issue 7, Pages : 2227 - 2246, 2014

Maciek D. Korzec - (email), Hao Wu - (email)

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Mathematical study of the small oscillations of a floating body in a bounded tank containing an incompressible viscous liquid

Discrete and Continuous Dynamical Systems - Series B  Volume 19, Issue 7, Pages : 2353 - 2364, 2014

Doretta Vivona - (email), Pierre Capodanno - (email)

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Thresholds for shock formation in traffic flow models with Arrhenius look-ahead dynamics

Discrete and Continuous Dynamical Systems  Volume 35, Issue 1, Pages : 323 - 339, 2014

Yongki Lee - (email), Hailiang Liu - (email)

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Interaction of an elastic plate with a linearized inviscid incompressible fluid

Communications on Pure and Applied Analysis  Volume 13, Issue 5, Pages : 1759 - 1778, 2014

I. D. Chueshov - (email)

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Asymptotic behavior of the conserved Caginalp phase-field system based on the Maxwell-Cattaneo law

Communications on Pure and Applied Analysis  Volume 13, Issue 5, Pages : 1971 - 1987, 2014

Alain Miranville - (email)

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Global strong solution to the initial-boundary value problem of a 2-D Kazhikhov-Smagulov type model

Discrete and Continuous Dynamical Systems - Series S  Volume 7, Issue 5, Pages : 917 - 923, 2014

Xiaoyun Cai - (email), Liangwen Liao - (email), Yongzhong Sun - (email)

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Flow-plate interactions: Well-posedness and long-time behavior

Discrete and Continuous Dynamical Systems - Series S  Volume 7, Issue 5, Pages : 925 - 965, 2014

Igor Chueshov - (email), Irena Lasiecka - (email), Justin Webster - (email)

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A nonlinear effective slip interface law for transport phenomena between a fracture flow and a porous medium

Discrete and Continuous Dynamical Systems - Series S  Volume 7, Issue 5, Pages : 1065 - 1077, 2014

Anna Marciniak-Czochra - (email), Andro Mikelić - (email)

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Shape optimization for non-Newtonian fluids in time-dependent domains

Evolution Equations and Control Theory  Volume 3, Issue 2, Pages : 331 - 348, 2014

Jan Sokołowski - (email), Jan Stebel - (email)

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Well-posedness and asymptotic behavior of solutions for the Blackstock-Crighton-Westervelt equation

Discrete and Continuous Dynamical Systems  Volume 34, Issue 11, Pages : 4515 - 4535, 2014

Rainer Brunnhuber - (email), Barbara Kaltenbacher - (email)

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92

On ill-posedness for the generalized BBM equation

Discrete and Continuous Dynamical Systems  Volume 34, Issue 11, Pages : 4565 - 4576, 2014

Xavier Carvajal - (email), Mahendra Panthee - (email)

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93

Attractors for a double time-delayed 2D-Navier-Stokes model

Discrete and Continuous Dynamical Systems  Volume 34, Issue 10, Pages : 4085 - 4105, 2014

Julia García-Luengo - (email), Pedro Marín-Rubio - (email), Gabriela Planas - (email)

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94

Global existence for the defocusing nonlinear Schrödinger equations with limit periodic initial data

Communications on Pure and Applied Analysis  Volume 14, Issue 4, Pages : 1563 - 1580, 2014

Tadahiro Oh - (email)

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95

Infinite-energy solutions for the Navier-Stokes equations in a strip revisited

Communications on Pure and Applied Analysis  Volume 13, Issue 4, Pages : 1361 - 1393, 2014

Peter Anthony - (email), Sergey Zelik - (email)

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96

Well-posedness and scattering for a system of quadratic derivative nonlinear Schrödinger equations with low regularity initial data

Communications on Pure and Applied Analysis  Volume 13, Issue 4, Pages : 1563 - 1591, 2014

Hiroyuki Hirayama - (email)

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97

Note on evolutionary free piston problem for Stokes equations with slip boundary conditions

Communications on Pure and Applied Analysis  Volume 13, Issue 4, Pages : 1629 - 1639, 2014

Boris Muha - (email), Zvonimir Tutek - (email)

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98

Stabilization of a fluid-solid system, by the deformation of the self-propelled solid. Part I: The linearized system.

Evolution Equations and Control Theory  Volume 3, Issue 1, Pages : 59 - 82, 2014

Sébastien Court - (email)

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99

Stabilization of a fluid-solid system, by the deformation of the self-propelled solid. Part II: The nonlinear system.

Evolution Equations and Control Theory  Volume 3, Issue 1, Pages : 83 - 118, 2014

Sébastien Court - (email)

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100

A note on the Chern-Simons-Dirac equations in the Coulomb gauge

Discrete and Continuous Dynamical Systems  Volume 34, Issue 7, Pages : 2693 - 2701, 2013

Nikolaos Bournaveas - (email), Timothy Candy - (email), Shuji Machihara - (email)

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101

Global existence and asymptotic behavior of measure valued solutions to the kinetic Kuramoto--Daido model with inertia

Networks and Heterogeneous Media  Volume 8, Issue 4, Pages : 943 - 968, 2013

Young-Pil Choi - (email), Seung-Yeal Ha - (email), Seok-Bae Yun - (email)

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102

Well-posedness for the supercritical gKdV equation

Communications on Pure and Applied Analysis  Volume 13, Issue 2, Pages : 527 - 542, 2013

Nils Strunk - (email)

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103

Local well-posedness for the nonlinear Dirac equation in two space dimensions

Communications on Pure and Applied Analysis  Volume 13, Issue 2, Pages : 673 - 685, 2013

Hartmut Pecher - (email)

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104

A BKM's criterion of smooth solution to the incompressible viscoelastic flow

Communications on Pure and Applied Analysis  Volume 13, Issue 2, Pages : 823 - 833, 2013

Hua Qiu - (email), Shaomei Fang - (email)

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105

The Fourier restriction norm method for the Zakharov-Kuznetsov equation

Discrete and Continuous Dynamical Systems  Volume 34, Issue 5, Pages : 2061 - 2068, 2013

Axel Grünrock - (email), Sebastian Herr - (email)

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106

Some mathematical models in phase transition

Discrete and Continuous Dynamical Systems - Series S  Volume 7, Issue 2, Pages : 271 - 306, 2013

Alain Miranville - (email)

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107

Well-posedness, blow-up phenomena and global existence for the generalized $b$-equation with higher-order nonlinearities and weak dissipation

Discrete and Continuous Dynamical Systems  Volume 34, Issue 2, Pages : 843 - 867, 2013

Shouming Zhou - (email), Chunlai Mu - (email), Liangchen Wang - (email)

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108

Global well-posedness of some high-order semilinear wave and Schrödinger type equations with exponential nonlinearity

Communications on Pure and Applied Analysis  Volume 13, Issue 1, Pages : 273 - 291, 2013

Tarek Saanouni - (email)

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109

On the convergence of statistical solutions of the 3D Navier-Stokes-$\alpha$ model as $\alpha$ vanishes

Discrete and Continuous Dynamical Systems  Volume 34, Issue 1, Pages : 19 - 49, 2013

Anne Bronzi - (email), Ricardo Rosa - (email)

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110

Longtime behavior of nonlocal Cahn-Hilliard equations

Discrete and Continuous Dynamical Systems  Volume 34, Issue 1, Pages : 145 - 179, 2013

Ciprian G. Gal - (email), Maurizio Grasselli - (email)

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111

A stability result for the Stokes-Boussinesq equations in infinite 3d channels

Communications on Pure and Applied Analysis  Volume 12, Issue 6, Pages : 2615 - 2625, 2013

Marta Lewicka - (email), Mohammadreza Raoofi - (email)

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112

Logarithmically improved criteria for Euler and Navier-Stokes equations

Communications on Pure and Applied Analysis  Volume 12, Issue 6, Pages : 2715 - 2719, 2013

Yi Zhou - (email), Zhen Lei - (email)

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113

Remarks on the approximation of the Navier-Stokes equations via the implicit Euler scheme

Communications on Pure and Applied Analysis  Volume 12, Issue 6, Pages : 2829 - 2838, 2013

Michele Coti Zelati - (email)

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114

Nonlocal phase-field systems with general potentials

Discrete and Continuous Dynamical Systems  Volume 33, Issue 11/12, Pages : 5089 - 5106, 2013

Maurizio Grasselli - (email), Giulio Schimperna - (email)

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115

Well-posedness results for the Navier-Stokes equations in the rotational framework

Discrete and Continuous Dynamical Systems  Volume 33, Issue 11/12, Pages : 5143 - 5151, 2013

Matthias Hieber - (email), Sylvie Monniaux - (email)

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116

$L^p$-theory for the Navier-Stokes equations with pressure boundary conditions

Discrete and Continuous Dynamical Systems - Series S  Volume 6, Issue 5, Pages : 1113 - 1137, 2013

Chérif Amrouche - (email), Nour El Houda Seloula - (email)

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117

On the blow-up problem for the Euler equations and the Liouville type results in the fluid equations

Discrete and Continuous Dynamical Systems - Series S  Volume 6, Issue 5, Pages : 1139 - 1150, 2013

Dongho Chae - (email)

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118

Uniqueness of backward asymptotically almost periodic-in-time solutions to Navier-Stokes equations in unbounded domains

Discrete and Continuous Dynamical Systems - Series S  Volume 6, Issue 5, Pages : 1215 - 1224, 2013

Reinhard Farwig - (email), Yasushi Taniuchi - (email)

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119

On instability of the Ekman spiral

Discrete and Continuous Dynamical Systems - Series S  Volume 6, Issue 5, Pages : 1225 - 1236, 2013

André Fischer - (email), Jürgen Saal - (email)

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120

Existence and uniqueness of time-periodic solutions to the Navier-Stokes equations in the whole plane

Discrete and Continuous Dynamical Systems - Series S  Volume 6, Issue 5, Pages : 1237 - 1257, 2013

Giovanni P. Galdi - (email)

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121

A remark on a Liouville problem with boundary for the Stokes and the Navier-Stokes equations

Discrete and Continuous Dynamical Systems - Series S  Volume 6, Issue 5, Pages : 1277 - 1289, 2013

Yoshikazu Giga - (email)

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122

A remark on the Stokes problem in Lorentz spaces

Discrete and Continuous Dynamical Systems - Series S  Volume 6, Issue 5, Pages : 1323 - 1342, 2013

Paolo Maremonti - (email)

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123

Various boundary conditions for Navier-Stokes equations in bounded Lipschitz domains

Discrete and Continuous Dynamical Systems - Series S  Volume 6, Issue 5, Pages : 1355 - 1369, 2013

Sylvie Monniaux - (email)

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124

A note on local interior regularity of a suitable weak solution to the Navier--Stokes problem

Discrete and Continuous Dynamical Systems - Series S  Volume 6, Issue 5, Pages : 1391 - 1400, 2013

Jiří Neustupa - (email)

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125

Improvement of some anisotropic regularity criteria for the Navier--Stokes equations

Discrete and Continuous Dynamical Systems - Series S  Volume 6, Issue 5, Pages : 1401 - 1407, 2013

Patrick Penel - (email), Milan Pokorný - (email)

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126

Analytic rates of solutions to the Euler equations

Discrete and Continuous Dynamical Systems - Series S  Volume 6, Issue 5, Pages : 1409 - 1415, 2013

Okihiro Sawada - (email)

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127

Long time existence of regular solutions to non-homogeneous Navier-Stokes equations

Discrete and Continuous Dynamical Systems - Series S  Volume 6, Issue 5, Pages : 1427 - 1455, 2013

Wojciech M. Zajączkowski - (email)

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128

Analysis of a scalar nonlocal peridynamic model with a sign changing kernel

Discrete and Continuous Dynamical Systems - Series B  Volume 18, Issue 5, Pages : 1415 - 1437, 2013

Tadele Mengesha - (email), Qiang Du - (email)

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129

Compositions of passive boundary control systems

Mathematical Control and Related Fields  Volume 3, Issue 1, Pages : 1 - 19, 2013

Atte Aalto - (email), Jarmo Malinen - (email)

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130

Global weak solutions to a general liquid crystals system

Discrete and Continuous Dynamical Systems  Volume 33, Issue 7, Pages : 2681 - 2710, 2013

Yuming Chu - (email), Yihang Hao - (email), Xiangao Liu - (email)

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131

Sobolev metrics on shape space, II: Weighted Sobolev metrics and almost local metrics

Journal of Geometric Mechanics  Volume 4, Issue 4, Pages : 365 - 383, 2013

Martin Bauer - (email), Philipp Harms - (email), Peter W. Michor - (email)

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132

Approximation of the trajectory attractor of the 3D MHD System

Communications on Pure and Applied Analysis  Volume 12, Issue 5, Pages : 2119 - 2144, 2013

Gabriel Deugoue - (email)

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133

The Fractional Ginzburg-Landau equation with distributional initial data

Communications on Pure and Applied Analysis  Volume 12, Issue 5, Pages : 2173 - 2187, 2013

Jingna Li - (email), Li Xia - (email)

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134

Existence and uniqueness of the solution of a Boussinesq system with nonlinear dissipation

Communications on Pure and Applied Analysis  Volume 12, Issue 5, Pages : 2213 - 2227, 2013

Dominique Blanchard - (email), Nicolas Bruyère - (email), Olivier Guibé - (email)

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135

Strong solutions to the equations of flow and heat transfer in magnetic fluids with internal rotations

Discrete and Continuous Dynamical Systems  Volume 33, Issue 8, Pages : 3289 - 3320, 2013

Youcef Amirat - (email), Kamel Hamdache - (email)

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136

On the well-posedness of inhomogeneous hyperdissipative Navier-Stokes equations

Discrete and Continuous Dynamical Systems  Volume 33, Issue 8, Pages : 3517 - 3541, 2013

Daoyuan Fang - (email), Ruizhao Zi - (email)

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137

Asymptotic analysis of the Navier-Stokes equations in a curved domain with a non-characteristic boundary

Networks and Heterogeneous Media  Volume 7, Issue 4, Pages : 741 - 766, 2012

Gung-Min Gie - (email), Makram Hamouda - (email), Roger Temam - (email)

 Abstract       References       Full Text      Related Articles

138

Global well-posedness of the Chern-Simons-Higgs equations with finite energy

Discrete and Continuous Dynamical Systems  Volume 33, Issue 6, Pages : 2531 - 2546, 2012

Sigmund Selberg - (email), Achenef Tesfahun - (email)

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139

A Cahn-Hilliard-Gurtin model with dynamic boundary conditions

Discrete and Continuous Dynamical Systems - Series S  Volume 6, Issue 2, Pages : 387 - 400, 2012

Gisèle Ruiz Goldstein - (email), Alain Miranville - (email)

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140

Global existence in critical spaces for the compressible magnetohydrodynamic equations

Kinetic and Related Models  Volume 5, Issue 4, Pages : 743 - 767, 2012

Qing Chen - (email), Zhong Tan - (email)

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141

Geometric aspects of transformations of forces acting upon a swimmer in a 3-D incompressible fluid

Discrete and Continuous Dynamical Systems  Volume 33, Issue 4, Pages : 1513 - 1544, 2012

Alexander Khapalov - (email), Giang Trinh - (email)

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142

Well-posedness for a modified two-component Camassa-Holm system in critical spaces

Discrete and Continuous Dynamical Systems  Volume 33, Issue 4, Pages : 1699 - 1712, 2012

Kai Yan - (email), Zhaoyang Yin - (email)

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143

A Serrin-type regularity criterion for the Navier-Stokes equations via one velocity component

Communications on Pure and Applied Analysis  Volume 12, Issue 1, Pages : 117 - 124, 2012

Zujin Zhang - (email)

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144

The Cauchy problem for a nonhomogeneous heat equation with reaction

Discrete and Continuous Dynamical Systems  Volume 33, Issue 2, Pages : 643 - 662, 2012

Arturo de Pablo - (email), Guillermo Reyes - (email), Ariel Sánchez - (email)

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145

The decay estimates of solutions for 1D compressible flows with density-dependent viscosity coefficients

Communications on Pure and Applied Analysis  Volume 12, Issue 2, Pages : 647 - 661, 2012

Wuming Li - (email), Xiaojun Liu - (email), Quansen Jiu - (email)

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146

An anisotropic regularity criterion for the 3D Navier-Stokes equations

Communications on Pure and Applied Analysis  Volume 12, Issue 3, Pages : 1299 - 1306, 2012

Xuanji Jia - (email), Zaihong Jiang - (email)

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147

On a double penalized Smectic-A model

Discrete and Continuous Dynamical Systems  Volume 32, Issue 12, Pages : 4171 - 4182, 2012

Blanca Climent-Ezquerra - (email), Francisco Guillén-González - (email)

 Abstract       References       Full Text      Related Articles

148

Stability and convergence at infinite time of several fully discrete schemes for a Ginzburg-Landau model for nematic liquid crystal flows

Discrete and Continuous Dynamical Systems  Volume 32, Issue 12, Pages : 4229 - 4246, 2012

Francisco Guillén-González - (email), Mouhamadou Samsidy Goudiaby - (email)

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149

Motivation, analysis and control of the variable density Navier-Stokes equations

Discrete and Continuous Dynamical Systems - Series S  Volume 5, Issue 6, Pages : 1021 - 1090, 2012

Enrique Fernández-Cara - (email)

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150

Stability and interaction of vortices in two-dimensional viscous flows

Discrete and Continuous Dynamical Systems - Series S  Volume 5, Issue 6, Pages : 1091 - 1131, 2012

Thierry Gallay - (email)

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151

A short course on numerical simulation of viscous flow: Discretization, optimization and stability analysis

Discrete and Continuous Dynamical Systems - Series S  Volume 5, Issue 6, Pages : 1147 - 1194, 2012

Rolf Rannacher - (email)

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152

Energy variational approach to study charge inversion (layering) near charged walls

Discrete and Continuous Dynamical Systems - Series B  Volume 17, Issue 8, Pages : 2725 - 2743, 2012

YunKyong Hyon - (email), James E. Fonseca - (email), Bob Eisenberg - (email), Chun Liu - (email)

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153

Convergence results for the vector penalty-projection and two-step artificial compressibility methods

Discrete and Continuous Dynamical Systems - Series B  Volume 17, Issue 5, Pages : 1383 - 1405, 2012

Philippe Angot - (email), Pierre Fabrie - (email)

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154

Certain questions of feedback stabilization for Navier-Stokes equations

Evolution Equations and Control Theory  Volume 1, Issue 1, Pages : 109 - 140, 2012

Andrei Fursikov - (email), Alexey V. Gorshkov - (email)

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155

On well-posedness of incompressible two-phase flows with phase transitions: The case of equal densities

Evolution Equations and Control Theory  Volume 1, Issue 1, Pages : 171 - 194, 2012

Jan Prüss - (email), Yoshihiro Shibata - (email), Senjo Shimizu - (email), Gieri Simonett - (email)

 Abstract       References       Full Text      Related Articles

156

Hyperbolic Navier-Stokes equations I: Local well-posedness

Evolution Equations and Control Theory  Volume 1, Issue 1, Pages : 195 - 215, 2012

Reinhard Racke - (email), Jürgen Saal - (email)

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157

Instability of coupled systems with delay

Communications on Pure and Applied Analysis  Volume 11, Issue 5, Pages : 1753 - 1773, 2012

Reinhard Racke - (email)

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158

Solvability and asymptotic analysis of a generalization of the Caginalp phase field system

Communications on Pure and Applied Analysis  Volume 11, Issue 5, Pages : 1959 - 1982, 2012

Giacomo Canevari - (email), Pierluigi Colli - (email)

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159

Analysis of a Burgers equation with singular resonant source term and convergence of well-balanced schemes

Discrete and Continuous Dynamical Systems  Volume 32, Issue 6, Pages : 1939 - 1964, 2012

Boris Andreianov - (email), Nicolas Seguin - (email)

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160

Sobolev metrics on shape space of surfaces

Journal of Geometric Mechanics  Volume 3, Issue 4, Pages : 389 - 438, 2012

Martin Bauer - (email), Philipp Harms - (email), Peter W. Michor - (email)

 Abstract       References       Full Text      Related Articles

161

Well-posedness of a model for water waves with viscosity

Discrete and Continuous Dynamical Systems - Series B  Volume 17, Issue 4, Pages : 1113 - 1137, 2012

David M. Ambrose - (email), Jerry L. Bona - (email), David P. Nicholls - (email)

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162

Low regularity well-posedness for the 3D Klein - Gordon - Schrödinger system

Communications on Pure and Applied Analysis  Volume 11, Issue 3, Pages : 1081 - 1096, 2011

Hartmut Pecher - (email)

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163

Solutions to a fluid-structure interaction free boundary problem

Discrete and Continuous Dynamical Systems  Volume 32, Issue 4, Pages : 1355 - 1389, 2011

Igor Kukavica - (email), Amjad Tuffaha - (email)

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164

Well-posedness and long term behavior of a simplified Ericksen-Leslie non-autonomous system for nematic liquid crystal flows

Communications on Pure and Applied Analysis  Volume 11, Issue 2, Pages : 407 - 441, 2011

Stefano Bosia - (email)

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165

On the constants in a Kato inequality for the Euler and Navier-Stokes equations

Communications on Pure and Applied Analysis  Volume 11, Issue 2, Pages : 557 - 586, 2011

Carlo Morosi - (email), Livio Pizzocchero - (email)

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166

On a heated incompressible magnetic fluid model

Communications on Pure and Applied Analysis  Volume 11, Issue 2, Pages : 675 - 696, 2011

Youcef Amirat - (email), Kamel Hamdache - (email)

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167

On the regularity of solutions to the Navier-Stokes equations

Communications on Pure and Applied Analysis  Volume 11, Issue 2, Pages : 747 - 761, 2011

Vittorino Pata - (email)

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168

Mixed initial-boundary value problem for the three-dimensional Navier-Stokes equations in polyhedral domains

DCDS Supplements  Volume 2011, Issue Special, Pages : 135 - 144, 2011

Michal Beneš - (email)

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169

$L^1$ maximal regularity for the laplacian and applications

DCDS Supplements  Volume 2011, Issue Special, Pages : 495 - 504, 2011

Yoshikazu Giga - (email), Jürgen Saal - (email)

 Abstract       Full Text      Related Articles      

170

Strong solutions of doubly nonlinear Navier-Stokes equations

DCDS Supplements  Volume 2011, Issue Special, Pages : 1052 - 1060, 2011

Jochen Merker - (email)

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171

Asymptotic analysis of the equations of motion for viscoelastic oldroyd fluid

Discrete and Continuous Dynamical Systems  Volume 32, Issue 2, Pages : 657 - 677, 2011

Kun Wang - (email), Yangping Lin - (email), Yinnian He - (email)

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172

On well-posedness of the Degasperis-Procesi equation

Discrete and Continuous Dynamical Systems  Volume 31, Issue 2, Pages : 469 - 488, 2011

A. Alexandrou Himonas - (email), Curtis Holliman - (email)

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173

Asymptotic behavior of solutions to 1D compressible Navier-Stokes equations with gravity and vacuum

Discrete and Continuous Dynamical Systems  Volume 30, Issue 4, Pages : 1263 - 1283, 2011

Changjiang Zhu - (email), Ruizhao Zi - (email)

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174

On a class of three dimensional Navier-Stokes equations with bounded delay

Discrete and Continuous Dynamical Systems - Series B  Volume 16, Issue 1, Pages : 225 - 238, 2011

Sandro M. Guzzo - (email), Gabriela Planas - (email)

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175

A rate-independent model for permanent inelastic effects in shape memory materials

Networks and Heterogeneous Media  Volume 6, Issue 1, Pages : 145 - 165, 2011

Michela Eleuteri - (email), Luca Lussardi - (email), Ulisse Stefanelli - (email)

 Abstract       References       Full Text      Related Articles

176

Uniqueness and nonuniqueness of solutions to parabolic problems with singular coefficients

Discrete and Continuous Dynamical Systems  Volume 30, Issue 3, Pages : 891 - 916, 2011

Maria Assunta Pozio - (email), Fabio Punzo - (email), Alberto Tesei - (email)

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177

On the ill-posedness result for the BBM equation

Discrete and Continuous Dynamical Systems  Volume 30, Issue 1, Pages : 253 - 259, 2011

Mahendra Panthee - (email)

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178

Well-posedness and stability analysis for a moving boundary problem modelling the growth of nonnecrotic tumors

Discrete and Continuous Dynamical Systems - Series B  Volume 15, Issue 3, Pages : 573 - 596, 2011

Joachim Escher - (email), Anca-Voichita Matioc - (email)

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179

Well-posedness for two types of generalized Keller-Segel system of chemotaxis in critical Besov spaces

Communications on Pure and Applied Analysis  Volume 10, Issue 1, Pages : 287 - 308, 2010

Zhichun Zhai - (email)

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180

Solvability of the free boundary value problem of the Navier-Stokes equations

Discrete and Continuous Dynamical Systems  Volume 29, Issue 3, Pages : 769 - 801, 2010

Hantaek Bae - (email)

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181

Stokes and Navier-Stokes equations with a nonhomogeneous divergence condition

Discrete and Continuous Dynamical Systems - Series B  Volume 14, Issue 4, Pages : 1537 - 1564, 2010

Jean-Pierre Raymond - (email)

 Abstract       Full Text      Related Articles

182

Global in time solution and time-periodicity for a smectic-A liquid crystal model

Communications on Pure and Applied Analysis  Volume 9, Issue 6, Pages : 1473 - 1493, 2010

Blanca Climent-Ezquerra - (email), Francisco Guillén-González - (email)

 Abstract       Full Text      Related Articles

183

Stability of viscous shock wave for compressible Navier-Stokes equations with free boundary

Kinetic and Related Models  Volume 3, Issue 3, Pages : 409 - 425, 2010

Feimin Huang - (email), Xiaoding Shi - (email), Yi Wang - (email)

 Abstract       Full Text      Related Articles

184

On the very weak solution for the Oseen and Navier-Stokes equations

Discrete and Continuous Dynamical Systems - Series S  Volume 3, Issue 2, Pages : 159 - 183, 2010

Chérif Amrouche - (email), María Ángeles Rodríguez-Bellido - (email)

 Abstract       Full Text      Related Articles

185

The time-periodic solutions of the Navier-Stokes equations with mixed boundary conditions

Discrete and Continuous Dynamical Systems - Series S  Volume 3, Issue 2, Pages : 325 - 337, 2010

Petr Kučera - (email)

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186

On the asymptotic decay of higher-order norms of the solutions to the Navier-Stokes equations in R3

Discrete and Continuous Dynamical Systems - Series S  Volume 3, Issue 2, Pages : 361 - 370, 2010

Zdeněk Skalák - (email)

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187

Longtime behavior for a model of homogeneous incompressible two-phase flows

Discrete and Continuous Dynamical Systems  Volume 28, Issue 1, Pages : 1 - 39, 2010

Ciprian G. Gal - (email), Maurizio Grasselli - (email)

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188

Lower bounds for the spectrum of the Laplace and Stokes operators

Discrete and Continuous Dynamical Systems  Volume 28, Issue 1, Pages : 131 - 146, 2010

Alexei A. Ilyin - (email)

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189

The Kneser property of the weak solutions of the three dimensional Navier-Stokes equations

Discrete and Continuous Dynamical Systems  Volume 28, Issue 1, Pages : 161 - 179, 2010

Peter E. Kloeden - (email), José Valero - (email)

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190

On incompressible limits for the Navier-Stokes system on unbounded domains under slip boundary conditions

Discrete and Continuous Dynamical Systems - Series B  Volume 13, Issue 4, Pages : 783 - 798, 2010

Donatella Donatelli - (email), Eduard Feireisl - (email), Antonín Novotný - (email)

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191

Well-posedness and existence of standing waves for the fourth order nonlinear Schrödinger type equation

Discrete and Continuous Dynamical Systems  Volume 27, Issue 3, Pages : 1093 - 1105, 2010

Jun-ichi Segata - (email)

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192

Boundary feedback stabilization of the two dimensional Navier-Stokes equations with finite dimensional controllers

Discrete and Continuous Dynamical Systems  Volume 27, Issue 3, Pages : 1159 - 1187, 2010

Jean-Pierre Raymond - (email), Laetitia Thevenet - (email)

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193

On a $\nu$-continuous family of strong solutions to the Euler or Navier-Stokes equations with the Navier-Type boundary condition

Discrete and Continuous Dynamical Systems  Volume 27, Issue 4, Pages : 1353 - 1373, 2010

Hamid Bellout - (email), Jiří Neustupa - (email), Patrick Penel - (email)

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194

On universal relations in 2-D turbulence

Discrete and Continuous Dynamical Systems  Volume 27, Issue 4, Pages : 1327 - 1351, 2010

Nusret Balci - (email), Ciprian Foias - (email), M. S Jolly - (email), Ricardo Rosa - (email)

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195

Topological properties of the weak global attractor of the three-dimensional Navier-Stokes equations

Discrete and Continuous Dynamical Systems  Volume 27, Issue 4, Pages : 1611 - 1631, 2010

Ciprian Foias - (email), Ricardo Rosa - (email), Roger Temam - (email)

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196

On the existence of solutions for the Navier-Stokes system in a sum of weak-$L^{p}$ spaces

Discrete and Continuous Dynamical Systems  Volume 27, Issue 1, Pages : 171 - 183, 2010

Lucas C. F. Ferreira - (email), Elder J. Villamizar-Roa - (email)

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197

Smoothness of Koch-Tataru solutions to the Navier-Stokes equations revisited

Discrete and Continuous Dynamical Systems  Volume 27, Issue 1, Pages : 231 - 236, 2010

Rafaela Guberović - (email)

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198

Degenerate diffusion with a drift potential: A viscosity solutions approach

Discrete and Continuous Dynamical Systems  Volume 27, Issue 2, Pages : 767 - 786, 2010

Inwon C. Kim - (email), Helen K. Lei - (email)

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199

Pullback attractors for 2D-Navier-Stokes equations with delays in continuous and sub-linear operators

Discrete and Continuous Dynamical Systems  Volume 26, Issue 3, Pages : 989 - 1006, 2009

Pedro Marín-Rubio - (email), José Real - (email)

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200

Global regularity of solutions of coupled Navier-Stokes equations and nonlinear Fokker Planck equations

Discrete and Continuous Dynamical Systems  Volume 26, Issue 4, Pages : 1185 - 1196, 2009

Peter Constantin - (email), Gregory Seregin - (email)

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201

Long-time behavior for nonlinear hydrodynamic system modeling the nematic liquid crystal flows

Discrete and Continuous Dynamical Systems  Volume 26, Issue 1, Pages : 379 - 396, 2009

Hao Wu - (email)

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202

Boundary dynamics of a two-dimensional diffusive free boundary problem

Discrete and Continuous Dynamical Systems  Volume 26, Issue 2, Pages : 713 - 736, 2009

Micah Webster - (email), Patrick Guidotti - (email)

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203

Notes on the asymptotically self-similar singularities in the Euler and the Navier-Stokes equations

Discrete and Continuous Dynamical Systems  Volume 25, Issue 4, Pages : 1181 - 1193, 2009

Dongho Chae - (email), Kyungkeun Kang - (email), Jihoon Lee - (email)

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204

Time-dependent obstacle problem in thermohydraulics

DCDS Supplements  Volume 2009, Issue Special, Pages : 240 - 249, 2009

Takeshi Fukao - (email), Masahiro Kubo - (email)

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205

Regularity criteria for a simplified Ericksen-Leslie system modeling the flow of liquid crystals

Discrete and Continuous Dynamical Systems  Volume 25, Issue 3, Pages : 859 - 867, 2009

Jishan Fan - (email), Tohru Ozawa - (email)

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206

Well-Posedness for vector quasi-equilibrium problems with applications

Journal of Industrial and Management Optimization  Volume 5, Issue 2, Pages : 341 - 349, 2009

Nan-Jing Huang - (email), Xian-Jun Long - (email), Chang-Wen Zhao - (email)

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207

Discretization-invariant Bayesian inversion and Besov space priors

Inverse Problems and Imaging  Volume 3, Issue 1, Pages : 87 - 122, 2009

Matti Lassas - (email), Eero Saksman - (email), Samuli Siltanen - (email)

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208

On the Cahn-Hilliard equation with irregular potentials and dynamic boundary conditions

Communications on Pure and Applied Analysis  Volume 8, Issue 3, Pages : 881 - 912, 2009

Gianni Gilardi - (email), A. Miranville - (email), Giulio Schimperna - (email)

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209

Turbulence models, $p-$fluid flows, and $W^{2, L}$ regularity of solutions

Communications on Pure and Applied Analysis  Volume 8, Issue 2, Pages : 769 - 783, 2008

Hugo Beirão da Veiga - (email)

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210

Mixed generalized Laguerre-Fourier spectral method for exterior problem of Navier-Stokes equations

Discrete and Continuous Dynamical Systems - Series B  Volume 11, Issue 2, Pages : 315 - 345, 2008

Ben-Yu Guo - (email), Yu-Jian Jiao - (email)

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211

On energetic variational approaches in modeling the nematic liquid crystal flows

Discrete and Continuous Dynamical Systems  Volume 23, Issue 1/2, Pages : 455 - 475, 2008

Huan Sun - (email), Chun Liu - (email)

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212

On a Hamiltonian PDE arising in magma dynamics

Discrete and Continuous Dynamical Systems - Series B  Volume 10, Issue 4, Pages : 903 - 924, 2008

Gideon Simpson - (email), Michael I. Weinstein - (email), Philip Rosenau - (email)

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213

Control for fast and stable Laminar-to-High-Reynolds-Numbers transfer in a 2D Navier-Stokes channel flow

Discrete and Continuous Dynamical Systems - Series B  Volume 10, Issue 4, Pages : 925 - 956, 2008

Rafael Vázquez - (email), Emmanuel Trélat - (email), Jean-Michel Coron - (email)

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214

Derivation of a non-hydrostatic shallow water model; Comparison with Saint-Venant and Boussinesq systems

Discrete and Continuous Dynamical Systems - Series B  Volume 10, Issue 4, Pages : 733 - 759, 2008

Marie-Odile Bristeau - (email), Jacques Sainte-Marie - (email)

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215

Local well-posedness for the Cauchy problem of the quadratic Schrödinger equation with nonlinearity $\bar u^2$

Communications on Pure and Applied Analysis  Volume 7, Issue 5, Pages : 1123 - 1143, 2008

Nobu Kishimoto - (email)

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216

Asymptotic behaviour of two-dimensional time-delayed Navier-Stokes equations

Discrete and Continuous Dynamical Systems  Volume 21, Issue 4, Pages : 1245 - 1258, 2008

Gabriela Planas - (email), Eduardo Hernández - (email)

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217

Well-posedness for parametric vector equilibrium problems with applications

Journal of Industrial and Management Optimization  Volume 4, Issue 2, Pages : 313 - 327, 2008

Kenji Kimura - (email), Yeong-Cheng Liou - (email), Soon-Yi Wu - (email), Jen-Chih Yao - (email)

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218

Resonant decompositions and the $I$-method for the cubic nonlinear Schrödinger equation on $\R^2$

Discrete and Continuous Dynamical Systems  Volume 21, Issue 3, Pages : 665 - 686, 2008

J. Colliander - (email), M. Keel - (email), Gigliola Staffilani - (email), H. Takaoka - (email), T. Tao - (email)

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219

On partial regularity for the Navier-Stokes equations

Discrete and Continuous Dynamical Systems  Volume 21, Issue 3, Pages : 717 - 728, 2008

Igor Kukavica - (email)

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220

Well-posedness and stability of a multidimensional moving boundary problem modeling the growth of tumor cord

Discrete and Continuous Dynamical Systems  Volume 21, Issue 3, Pages : 929 - 943, 2008

Fujun Zhou - (email), Shangbin Cui - (email)

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221

On the periodic Schrödinger-Debye equation

Communications on Pure and Applied Analysis  Volume 7, Issue 3, Pages : 699 - 713, 2008

Alexander Arbieto - (email), Carlos Matheus - (email)

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222

Global existence and scattering for rough solutions to generalized nonlinear Schrödinger equations on $R$

Communications on Pure and Applied Analysis  Volume 7, Issue 3, Pages : 467 - 489, 2008

J. Colliander - (email), Justin Holmer - (email), Monica Visan - (email), Xiaoyi Zhang - (email)

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223

Weighted low-regularity solutions of the KP-I initial-value problem

Discrete and Continuous Dynamical Systems  Volume 20, Issue 2, Pages : 219 - 258, 2007

J. Colliander - (email), A. D. Ionescu - (email), C. E. Kenig - (email), Gigliola Staffilani - (email)

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224

Nonlinear degenerate parabolic equations for a thermohydraulic model

DCDS Supplements  Volume 2007, Issue Special, Pages : 399 - 408, 2007

Takesi Fukao - (email), Masahiro Kubo - (email)

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225

Analysis of a phase field Navier-Stokes vesicle-fluid interaction model

Discrete and Continuous Dynamical Systems - Series B  Volume 8, Issue 3, Pages : 539 - 556, 2007

Qiang Du - (email), Manlin Li - (email), Chun Liu - (email)

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226

Error estimates for finite element approximations of consistent splitting schemes for incompressible flows

Discrete and Continuous Dynamical Systems - Series B  Volume 8, Issue 3, Pages : 663 - 676, 2007

Jie Shen - (email), Xiaofeng Yang - (email)

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227

Reformed post-processing Galerkin method for the Navier-Stokes equations

Discrete and Continuous Dynamical Systems - Series B  Volume 8, Issue 2, Pages : 369 - 387, 2007

Yinnian He - (email), R. M.M. Mattheij - (email)

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228

Nonexistence of locally self-similar blow-up for the 3D incompressible Navier-Stokes equations

Discrete and Continuous Dynamical Systems  Volume 18, Issue 4, Pages : 637 - 642, 2007

Thomas Y. Hou - (email), Ruo Li - (email)

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229

Outflow boundary conditions for the incompressible non-homogeneous Navier-Stokes equations

Discrete and Continuous Dynamical Systems - Series B  Volume 7, Issue 2, Pages : 219 - 250, 2006

Franck Boyer - (email), Pierre Fabrie - (email)

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230

Well-posedness of the modified Crank-Nicholson difference schemes in Bochner spaces

Discrete and Continuous Dynamical Systems - Series B  Volume 7, Issue 1, Pages : 29 - 51, 2006

Allaberen Ashyralyev - (email)

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231

Global well-posedness of the Cauchy problem for nonlinear Schrödinger-type equations

Discrete and Continuous Dynamical Systems  Volume 17, Issue 1, Pages : 181 - 200, 2006

Changxing Miao - (email), Bo Zhang - (email)

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232

Global well-posedness in Sobolev space implies global existence for weighted $L^2$ initial data for $L^2$-critical NLS

Communications on Pure and Applied Analysis  Volume 5, Issue 4, Pages : 691 - 708, 2006

P. Blue - (email), J. Colliander - (email)

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233

On a variational inequality for the Navier-Stokes operator with variable viscosity

Communications on Pure and Applied Analysis  Volume 5, Issue 3, Pages : 583 - 596, 2006

G. M. de Araújo - (email), S. B. de Menezes - (email)

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234

Regularity of the Navier-Stokes equation in a thin periodic domain with large data

Discrete and Continuous Dynamical Systems  Volume 16, Issue 1, Pages : 67 - 86, 2006

Igor Kukavica - (email), Mohammed Ziane - (email)

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235

Regularity of forward-in-time self-similar solutions to the 3D Navier-Stokes equations

Discrete and Continuous Dynamical Systems  Volume 14, Issue 4, Pages : 837 - 843, 2006

Zoran Grujić - (email)

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236

Controllability of couette flows

Communications on Pure and Applied Analysis  Volume 5, Issue 1, Pages : 201 - 211, 2005

Michael Schmidt - (email), Emmanuel Trélat - (email)

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237

Meshfree method for the non-stationary incompressible Navier-Stokes equations

Discrete and Continuous Dynamical Systems - Series B  Volume 6, Issue 1, Pages : 17 - 39, 2005

Hi Jun Choe - (email), Do Wan Kim - (email), Yongsik Kim - (email)

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238

Boundary conditions for the 2D linearized PEs of the ocean in the absence of viscosity

Discrete and Continuous Dynamical Systems  Volume 13, Issue 5, Pages : 1257 - 1276, 2005

A. Rousseau - (email), Roger Temam - (email), J. Tribbia - (email)

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239

Attractors for nonautonomous 2d Navier-Stokes equations with normal external forces

Discrete and Continuous Dynamical Systems  Volume 13, Issue 3, Pages : 701 - 719, 2005

Songsong Lu - (email), Hongqing Wu - (email), Chengkui Zhong - (email)

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240

On generalized Benjamin type equations

Discrete and Continuous Dynamical Systems  Volume 12, Issue 1, Pages : 161 - 174, 2004

Felipe Linares - (email), M. Scialom - (email)

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241

On the cauchy problem for the coupled Klein Gordon Schrödinger system with rough data

Discrete and Continuous Dynamical Systems  Volume 12, Issue 2, Pages : 233 - 242, 2004

Yang Han - (email)

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242

Robust control problems in fluid flows

Discrete and Continuous Dynamical Systems  Volume 12, Issue 3, Pages : 437 - 463, 2004

T. Tachim Medjo - (email), Louis Tcheugoue Tebou - (email)

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243

Compressible Navier-Stokes equations with vacuum state in one dimension

Communications on Pure and Applied Analysis  Volume 3, Issue 4, Pages : 675 - 694, 2004

Daoyuan Fang - (email), Ting Zhang - (email)

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244

On the Cauchy problem for a coupled system of KdV equations

Communications on Pure and Applied Analysis  Volume 3, Issue 3, Pages : 417 - 431, 2004

Felipe Linares - (email), M. Panthee - (email)

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245

Kwak transformation and Navier-Stokes equations

Communications on Pure and Applied Analysis  Volume 3, Issue 3, Pages : 433 - 446, 2004

Hyukjin Kwean - (email)

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246

Asymptotic structure for solutions of the Navier--Stokes equations

Discrete and Continuous Dynamical Systems  Volume 11, Issue 1, Pages : 189 - 204, 2004

Tian Ma - (email), Shouhong Wang - (email)

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247

Stabilization for the 3D Navier-Stokes system by feedback boundary control

Discrete and Continuous Dynamical Systems  Volume 10, Issue 1/2, Pages : 289 - 314, 2003

A. V. Fursikov - (email)

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248

Boundary layer separation and structural bifurcation for 2-D incompressible fluid flows

Discrete and Continuous Dynamical Systems  Volume 10, Issue 1/2, Pages : 459 - 472, 2003

Tian Ma - (email), Shouhong Wang - (email)

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249

Attractors for noncompact nonautonomous systems via energy equations

Discrete and Continuous Dynamical Systems  Volume 10, Issue 1/2, Pages : 473 - 496, 2003

Ioana Moise - (email), Ricardo Rosa - (email), Xiaoming Wang - (email)

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250

A viscous approximation for a multidimensional unsteady Euler flow: Existence theorem for potential flow

Discrete and Continuous Dynamical Systems  Volume 9, Issue 6, Pages : 1587 - 1606, 2003

Gui-Qiang Chen - (email), Bo Su - (email)

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251

The asymptotic solution of the Cauchy problem for a generalized Boussinesq equation

Discrete and Continuous Dynamical Systems - Series B  Volume 3, Issue 3, Pages : 401 - 408, 2003

Shaoyong Lai - (email), Yong Hong Wu - (email)

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252

Global existence and asymptotic analysis of solutions to a model for the dynamic combustion of compressible fluids

DCDS Supplements  Volume 2003, Issue Special, Pages : 852 - 863, 2003

Konstantina Trivisa - (email)

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253

Controllability of partial differential equations and its semi-discrete approximations

Discrete and Continuous Dynamical Systems  Volume 8, Issue 2, Pages : 469 - 513, 2002

Enrique Zuazua - (email)

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254

Meshless method for the stationary incompressible Navier-Stokes equations

Discrete and Continuous Dynamical Systems - Series B  Volume 1, Issue 4, Pages : 495 - 526, 2001

Hi Jun Choe - (email), Hyea Hyun Kim - (email), Do Wan Kim - (email), Yongsik Kim - (email)

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255

On liquid crystal flows with free-slip boundary conditions

Discrete and Continuous Dynamical Systems  Volume 7, Issue 2, Pages : 307 - 318, 2001

Chun Liu - (email), Jie Shen - (email)

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256

Derivation of viscous Saint-Venant system for laminar shallow water; Numerical validation

Discrete and Continuous Dynamical Systems - Series B  Volume 1, Issue 1, Pages : 89 - 102, 2001

Jean-Frédéric Gerbeau - (email), Benoit Perthame - (email)

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257

Dynamic theory for incompressible Smectic-A liquid crystals: Existence and regularity

Discrete and Continuous Dynamical Systems  Volume 6, Issue 3, Pages : 591 - 608, 2000

Chun Liu - (email)

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258

Global well-posedness for the Kadomtsev-Petviashvili II equation

Discrete and Continuous Dynamical Systems  Volume 6, Issue 2, Pages : 483 - 499, 2000

Hideo Takaoka - (email)

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259

Exponential attractors for nonautonomous first-order evolution equations

Discrete and Continuous Dynamical Systems  Volume 4, Issue 2, Pages : 225 - 240, 1998

Pierre Fabrie - (email), Alain Miranville - (email)

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260

Vacuum states for compressible flow

Discrete and Continuous Dynamical Systems  Volume 4, Issue 1, Pages : 1 - 32, 1997

Tai-Ping Liu - (email), Zhouping Xin - (email), Tong Yang - (email)

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261

Nonlinear Galerkin approximation of the two dimensional exterior Navier-Stokes problem

Discrete and Continuous Dynamical Systems  Volume 2, Issue 4, Pages : 467 - 482, 1996

Yinnian He - (email), Kaitai Li - (email)

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262

Fourier nonlinear Galerkin method for Navier-Stokes equations

Discrete and Continuous Dynamical Systems  Volume 2, Issue 4, Pages : 497 - 524, 1996

Kaitai Li - (email), Yanren Hou - (email)

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263

Large optimal truncated low-dimensional dynamical systems

Discrete and Continuous Dynamical Systems  Volume 2, Issue 4, Pages : 559 - 583, 1996

Chui-Jie Wu - (email)

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264

Some physical considerations attendant to the approximate inertial manifolds for Navier-Stokes equations

Discrete and Continuous Dynamical Systems  Volume 2, Issue 4, Pages : 585 - 593, 1996

Oscar P. Manley - (email)

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265

Exponential attractors for the slightly compressible 2D-Navier-Stokes

Discrete and Continuous Dynamical Systems  Volume 2, Issue 3, Pages : 315 - 348, 1996

Pierre Fabrie - (email), C. Galusinski - (email)

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266

Upper bound on the dimension of the attractor for nonhomogeneous Navier-Stokes equations

Discrete and Continuous Dynamical Systems  Volume 2, Issue 1, Pages : 95 - 110, 1995

Alain Miranville - (email), Xiaoming Wang - (email)

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267

ON LIQUID CRYSTAL FLOWS WITH FREE-SLIP BOUNDARY CONDITIONS

Discrete and Continuous Dynamical Systems  Volume 2, Issue 1, Pages : 307 - 318,

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