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1

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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2

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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3

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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4

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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5

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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6

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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7

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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8

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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9

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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10

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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11

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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12

A blowup criterion for the 2D $k$-$\varepsilon$ model equations for turbulent flows

Kinetic and Related Models  Volume 9, Issue 4, Pages : 777 - 796, 2016

Baoquan Yuan - (email), Guoquan Qin - (email)

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13

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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14

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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15

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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16

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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17

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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18

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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19

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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20

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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21

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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22

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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23

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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24

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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25

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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26

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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27

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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28

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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29

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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30

$(N-1)$ 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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31

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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32

Going to new lengths: Studying the Navier--Stokes-$\alpha\beta$ equations using the strained spiral vortex model

Discrete and Continuous Dynamical Systems - Series B  Volume 19, Issue 7, Pages : 2207 - 2225, 2014

Tae-Yeon Kim - (email), Xuemei Chen - (email), John E. Dolbow - (email), Eliot Fried - (email)

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33

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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34

Global well-posedness for the dissipative system modeling electro-hydrodynamics with large vertical velocity component in critical Besov space

Discrete and Continuous Dynamical Systems  Volume 35, Issue 1, Pages : 555 - 582, 2014

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

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35

The Kolmogorov-Obukhov-She-Leveque scaling in turbulence

Communications on Pure and Applied Analysis  Volume 13, Issue 5, Pages : 1737 - 1757, 2014

Björn Birnir - (email)

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36

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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37

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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38

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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39

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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40

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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41

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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42

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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43

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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44

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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45

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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46

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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47

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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48

$L^p$-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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49

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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50

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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51

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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52

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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53

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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54

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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55

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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56

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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57

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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58

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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59

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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60

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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61

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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62

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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63

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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64

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)

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65

Canard explosion in chemical and optical systems

Discrete and Continuous Dynamical Systems - Series B  Volume 18, Issue 2, Pages : 495 - 512, 2012

Elena Shchepakina - (email), Olga Korotkova - (email)

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66

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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67

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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68

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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69

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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70

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)

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71

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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72

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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73

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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74

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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75

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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76

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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77

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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78

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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79

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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80

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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81

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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82

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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83

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

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

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

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84

Reduction of three-dimensional model of the far turbulent wake to one-dimensional problem

DCDS Supplements  Volume 2011, Issue Special, Pages : 794 - 802, 2011

Oleg V. Kaptsov - (email), Alexey V. Schmidt - (email)

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85

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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86

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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87

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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88

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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89

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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90

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)

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91

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)

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92

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)

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93

Lectures on the Onsager conjecture

Discrete and Continuous Dynamical Systems - Series S  Volume 3, Issue 3, Pages : 473 - 496, 2010

Roman Shvydkoy - (email)

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94

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)

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95

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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96

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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97

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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98

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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99

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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100

Invariant measures for the $3$D Navier-Stokes-Voigt equations and their Navier-Stokes limit

Discrete and Continuous Dynamical Systems  Volume 28, Issue 1, Pages : 375 - 403, 2010

Fabio Ramos - (email), Edriss S. Titi - (email)

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101

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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102

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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103

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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104

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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105

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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106

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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107

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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108

An inviscid dyadic model of turbulence: The global attractor

Discrete and Continuous Dynamical Systems  Volume 26, Issue 3, Pages : 781 - 794, 2009

Alexey Cheskidov - (email), Susan Friedlander - (email), Nataša Pavlović - (email)

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109

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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110

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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111

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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112

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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113

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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114

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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115

Time averaging in turbulence settings may reveal an infinite hierarchy of length scales

Discrete and Continuous Dynamical Systems  Volume 24, Issue 3, Pages : 781 - 807, 2009

Paul Fife - (email), Joseph Klewicki - (email), Tie Wei - (email)

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116

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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117

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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118

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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119

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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120

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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121

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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122

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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123

Travelling waves for a combustion model coupled with hyperbolic radiation moment models

Discrete and Continuous Dynamical Systems - Series B  Volume 10, Issue 1, Pages : 73 - 90, 2008

Josephus Hulshof - (email), Pascal Noble - (email)

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124

On the κ - θ model of cellular flames: Existence in the large and asymptotics

Discrete and Continuous Dynamical Systems - Series S  Volume 1, Issue 1, Pages : 27 - 39, 2007

Claude-Michel Brauner - (email), Michael L. Frankel - (email), Josephus Hulshof - (email), Alessandra Lunardi - (email), G. Sivashinsky - (email)

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125

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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126

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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127

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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128

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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129

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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130

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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131

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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132

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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133

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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134

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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135

On a well-posed turbulence model

Discrete and Continuous Dynamical Systems - Series B  Volume 6, Issue 1, Pages : 111 - 128, 2005

W. Layton - (email), R. Lewandowski - (email)

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136

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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137

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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138

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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139

Global solution for the mixture of real compressible reacting flows in combustion

Communications on Pure and Applied Analysis  Volume 3, Issue 4, Pages : 775 - 790, 2004

Dehua Wang - (email)

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140

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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141

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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142

Turbulent channel flow in weighted Sobolev spaces using the anisotropic Lagrangian averaged Navier-Stokes (LANS-$\alpha$) equations

Communications on Pure and Applied Analysis  Volume 3, Issue 1, Pages : 1 - 23, 2004

Daniel Coutand - (email), Steve Shkoller - (email)

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143

Recurrence in the 2-$D$ Navier--Stokes equations

Discrete and Continuous Dynamical Systems  Volume 10, Issue 1/2, Pages : 253 - 268, 2003

C. Foias - (email), M. S Jolly - (email), O. P. Manley - (email)

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144

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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145

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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146

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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147

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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148

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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149

Global existence and dynamical properties of large solutions for combustion flows

DCDS Supplements  Volume 2003, Issue Special, Pages : 888 - 897, 2003

Dehua Wang - (email)

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150

Solution filtering technique for solving Burgers' equation

DCDS Supplements  Volume 2003, Issue Special, Pages : 951 - 959, 2003

Tianliang Yang - (email), J. M. McDonough - (email)

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151

The problem Of blow-up in nonlinear parabolic equations

Discrete and Continuous Dynamical Systems  Volume 8, Issue 2, Pages : 399 - 433, 2002

Victor A. Galaktionov - (email), Juan-Luis Vázquez - (email)

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152

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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153

Global well-posedness of weak solutions for the Lagrangian averaged Navier-Stokes equations on bounded domains

Communications on Pure and Applied Analysis  Volume 1, Issue 1, Pages : 35 - 50, 2001

Daniel Coutand - (email), J. Peirce - (email), Steve Shkoller - (email)

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154

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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155

Existence of travelling wave solutions in a combustion-radiation model

Discrete and Continuous Dynamical Systems - Series B  Volume 1, Issue 2, Pages : 193 - 208, 2001

Claude-Michael Brauner - (email), Josephus Hulshof - (email), J.-F. Ripoll - (email)

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156

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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157

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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158

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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159

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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160

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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161

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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162

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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163

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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164

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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165

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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166

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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167

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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