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Asymptotic for the perturbed heavy ball system with vanishing damping term

Evolution Equations and Control Theory  Volume 6, Issue 2, Pages : 177 - 186, 2017

Mounir Balti - (email), Ramzi May - (email)

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Large time behavior in the logistic Keller-Segel model via maximal Sobolev regularity

Discrete and Continuous Dynamical Systems - Series B  Volume 22, Issue 5, Pages : 21 - 21, 2017

Xinru Cao - (email)

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Cucker-Smale model with normalized communication weights and time delay

Kinetic and Related Models  Volume 10, Issue 4, Pages : 1011 - 1033, 2017

Young-Pil Choi - (email), Jan Haskovec - (email)

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Global strong solutions to the planar compressible magnetohydrodynamic equations with large initial data and vacuum

Kinetic and Related Models  Volume 10, Issue 4, Pages : 1035 - 1053, 2017

Jishan Fan - (email), Shuxiang Huang - (email), Fucai Li - (email)

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Boundedness and asymptotic stability in a two-species chemotaxis-competition model with signal-dependent sensitivity

Discrete and Continuous Dynamical Systems - Series B  Volume 22, Issue 6, Pages : 2301 - 2319, 2017

Masaaki Mizukami - (email)

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Asymptotic behaviors of Green-Sch potentials at infinity and its applications

Discrete and Continuous Dynamical Systems - Series B  Volume 22, Issue 6, Pages : 2321 - 2338, 2017

Lei Qiao - (email)

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On the positive vector solutions for nonlinear fractional Laplacian systems with linear coupling

Discrete and Continuous Dynamical Systems  Volume 37, Issue 6, Pages : 3327 - 3352, 2017

Dengfeng Lü - (email), Shuangjie Peng - (email)

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Long-term stability for KdV solitons in weighted $H^s$ spaces

Communications on Pure and Applied Analysis  Volume 16, Issue 2, Pages : 393 - 416, 2017

Brian Pigott - (email), Sarah Raynor - (email)

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Asymptotic behavior of the solution of a diffusion equation with nonlocal boundary conditions

Discrete and Continuous Dynamical Systems - Series B  Volume 22, Issue 2, Pages : 407 - 419, 2016

Bhargav Kumar Kakumani - (email), Suman Kumar Tumuluri - (email)

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Qualitative description of the particle trajectories for the $N$-solitons solution of the Korteweg-de Vries equation

Discrete and Continuous Dynamical Systems  Volume 37, Issue 3, Pages : 1489 - 1507, 2016

Ludovick Gagnon - (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 and large time behavior of classical solutions to the diffusion approximation model in radiation hydrodynamics

Discrete and Continuous Dynamical Systems  Volume 37, Issue 4, Pages : 2045 - 2063, 2016

Peng Jiang - (email)

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Global well-posedness for the derivative nonlinear Schrödinger equation in $H^{\frac {1}{2}} (\mathbb{R})$

Discrete and Continuous Dynamical Systems  Volume 37, Issue 1, Pages : 257 - 264, 2016

Zihua Guo - (email), Yifei Wu - (email)

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Weighted fast diffusion equations (Part II): Sharp asymptotic rates of convergence in relative error by entropy methods

Kinetic and Related Models  Volume 10, Issue 1, Pages : 61 - 91, 2016

Matteo Bonforte - (email), Jean Dolbeault - (email), Matteo Muratori - (email), Bruno Nazaret - (email)

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Asymptotic behavior and uniqueness of traveling wave fronts in a delayed nonlocal dispersal competitive system

Communications on Pure and Applied Analysis  Volume 16, Issue 1, Pages : 131 - 150, 2016

Kun Li - (email), Jianhua Huang - (email), Xiong Li - (email)

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On the asymptotic behavior of symmetric solutions of the Allen-Cahn equation in unbounded domains in $\mathbb{R}^2$

Discrete and Continuous Dynamical Systems  Volume 37, Issue 2, Pages : 725 - 742, 2016

Giorgio Fusco - (email), Francesco Leonetti - (email), Cristina Pignotti - (email)

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Dynamics of spike in a Keller-Segel's minimal chemotaxis model

Discrete and Continuous Dynamical Systems  Volume 37, Issue 2, Pages : 1109 - 1127, 2016

Yajing Zhang - (email), Xinfu Chen - (email), Jianghao Hao - (email), Xin Lai - (email), Cong Qin - (email)

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Decay rates for $1-d$ heat-wave planar networks

Networks and Heterogeneous Media  Volume 11, Issue 4, Pages : 655 - 692, 2016

Zhong-Jie Han - (email), Enrique Zuazua - (email)

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Eigenvalues for a nonlocal pseudo $p-$Laplacian

Discrete and Continuous Dynamical Systems  Volume 36, Issue 12, Pages : 6737 - 6765, 2016

Leandro M. Del Pezzo - (email), Julio D. Rossi - (email)

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Dynamics for a non-autonomous degenerate parabolic equation in $\mathfrak{D}_{0}^{1}(\Omega, \sigma)$

Discrete and Continuous Dynamical Systems  Volume 36, Issue 12, Pages : 7063 - 7079, 2016

Xin Li - (email), Chunyou Sun - (email), Na Zhang - (email)

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A numerical study of three-dimensional droplets spreading on chemically patterned surfaces

Discrete and Continuous Dynamical Systems - Series B  Volume 21, Issue 8, Pages : 2905 - 2926, 2016

Hua Zhong - (email), Xiao-Ping Wang - (email), Shuyu Sun - (email)

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Asymptotic behavior of a nonlocal KPP equation with an almost periodic nonlinearity

Discrete and Continuous Dynamical Systems  Volume 36, Issue 9, Pages : 5183 - 5199, 2016

Yan Zhang - (email)

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Nonexistence and short time asymptotic behavior of source-type solution for porous medium equation with convection in one-dimension

Discrete and Continuous Dynamical Systems - Series B  Volume 21, Issue 5, Pages : 1567 - 1586, 2016

Guofu Lu - (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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Principal eigenvalues for some nonlocal eigenvalue problems and applications

Discrete and Continuous Dynamical Systems  Volume 36, Issue 7, Pages : 4027 - 4049, 2016

Fei-Ying Yang - (email), Wan-Tong Li - (email), Jian-Wen Sun - (email)

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Transonic flows with shocks past curved wedges for the full Euler equations

Discrete and Continuous Dynamical Systems  Volume 36, Issue 8, Pages : 4179 - 4211, 2016

Gui-Qiang Chen - (email), Jun Chen - (email), Mikhail Feldman - (email)

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Global well-posedness of strong solutions to a tropical climate model

Discrete and Continuous Dynamical Systems  Volume 36, Issue 8, Pages : 4495 - 4516, 2016

Jinkai Li - (email), Edriss Titi - (email)

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Remarks on weak solutions of fractional elliptic equations

Communications on Pure and Applied Analysis  Volume 15, Issue 2, Pages : 335 - 340, 2016

Wanwan Wang - (email), Hongxia Zhang - (email), Huyuan Chen - (email)

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Well-posedness of the two-dimensional generalized Benjamin-Bona-Mahony equation on the upper half plane

Discrete and Continuous Dynamical Systems - Series B  Volume 21, Issue 3, Pages : 763 - 779, 2016

C. H. Arthur Cheng - (email), John M. Hong - (email), Ying-Chieh Lin - (email), Jiahong Wu - (email), Juan-Ming Yuan - (email)

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Analysis of a free boundary problem for avascular tumor growth with a periodic supply of nutrients

Discrete and Continuous Dynamical Systems - Series B  Volume 21, Issue 3, Pages : 997 - 1008, 2016

Shihe Xu - (email), Yinhui Chen - (email), Meng Bai - (email)

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31

Asymptotic behavior of solutions to a nonlinear plate equation with memory

Communications on Pure and Applied Analysis  Volume 16, Issue 2, Pages : 533 - 556, 2016

Yongqin Liu - (email)

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32

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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Global solution to the 3D nonhomogeneous incompressible MHD equations with some large initial data

Discrete and Continuous Dynamical Systems  Volume 36, Issue 6, Pages : 2945 - 2967, 2015

Fei Chen - (email), Yongsheng Li - (email), Huan Xu - (email)

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34

On two-sided estimates for the nonlinear Fourier transform of KdV

Discrete and Continuous Dynamical Systems  Volume 36, Issue 6, Pages : 3339 - 3356, 2015

Jan-Cornelius Molnar - (email)

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35

Mathematical analysis of population migration and its effects to spread of epidemics

Discrete and Continuous Dynamical Systems - Series B  Volume 20, Issue 9, Pages : 2819 - 2858, 2015

Shangbin Cui - (email), Meng Bai - (email)

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36

Stabilizing interplay between thermodiffusion and viscoelasticity in a closed-loop thermosyphon

Discrete and Continuous Dynamical Systems - Series B  Volume 20, Issue 9, Pages : 3267 - 3299, 2015

Justine Yasappan - (email), Ángela Jiménez-Casas - (email), Mario Castro - (email)

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37

Spike vector solutions for some coupled nonlinear Schrödinger equations

Discrete and Continuous Dynamical Systems  Volume 36, Issue 4, Pages : 2205 - 2227, 2015

Shuangjie Peng - (email), Huirong Pi - (email)

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38

Existence of intermediate weak solution to the equations of multi-dimensional chemotaxis systems

Discrete and Continuous Dynamical Systems  Volume 36, Issue 2, Pages : 861 - 875, 2015

Tong Li - (email), Anthony Suen - (email)

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39

Boundary behavior and asymptotic behavior of solutions to a class of parabolic equations with boundary degeneracy

Discrete and Continuous Dynamical Systems  Volume 36, Issue 2, Pages : 1041 - 1060, 2015

Chunpeng Wang - (email)

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40

Convergence rates of solutions for a two-dimensional chemotaxis-Navier-Stokes system

Discrete and Continuous Dynamical Systems - Series B  Volume 20, Issue 8, Pages : 2751 - 2759, 2015

Qingshan Zhang - (email), Yuxiang Li - (email)

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41

Reaction-diffusion equations with fractional diffusion on non-smooth domains with various boundary conditions

Discrete and Continuous Dynamical Systems  Volume 36, Issue 3, Pages : 1279 - 1319, 2015

Ciprian G. Gal - (email), Mahamadi Warma - (email)

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42

Sharp threshold for scattering of a generalized Davey-Stewartson system in three dimension

Communications on Pure and Applied Analysis  Volume 14, Issue 5, Pages : 1641 - 1670, 2015

Jing Lu - (email), Yifei Wu - (email)

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43

Stabilization in a chemotaxis model for tumor invasion

Discrete and Continuous Dynamical Systems  Volume 36, Issue 1, Pages : 151 - 169, 2015

Kentarou Fujie - (email), Akio Ito - (email), Michael Winkler - (email), Tomomi Yokota - (email)

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44

Global existence for the stochastic Degasperis-Procesi equation

Discrete and Continuous Dynamical Systems  Volume 35, Issue 11, Pages : 5171 - 5184, 2015

Yong Chen - (email), Hongjun Gao - (email)

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45

Stochastic Korteweg-de Vries equation driven by fractional Brownian motion

Discrete and Continuous Dynamical Systems  Volume 35, Issue 11, Pages : 5255 - 5272, 2015

Guolian Wang - (email), Boling Guo - (email)

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46

Nonlinear dispersive wave equations in two space dimensions

Communications on Pure and Applied Analysis  Volume 14, Issue 4, Pages : 1377 - 1393, 2015

Nakao Hayashi - (email), Seishirou Kobayashi - (email), Pavel I. Naumkin - (email)

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47

Time-dependent singularities in the heat equation

Communications on Pure and Applied Analysis  Volume 14, Issue 3, Pages : 969 - 979, 2015

Jin Takahashi - (email), Eiji Yanagida - (email)

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Remarks on a class of kinetic models of granular media: Asymptotics and entropy bounds

Kinetic and Related Models  Volume 8, Issue 2, Pages : 201 - 214, 2015

Martial Agueh - (email), Guillaume Carlier - (email), Reinhard Illner - (email)

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On the blow-up results for a class of strongly perturbed semilinear heat equations

Discrete and Continuous Dynamical Systems  Volume 35, Issue 8, Pages : 3585 - 3626, 2015

Van Tien Nguyen - (email)

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50

Asymptotic behavior for a reaction-diffusion population model with delay

Discrete and Continuous Dynamical Systems - Series B  Volume 20, Issue 2, Pages : 385 - 395, 2015

Keng Deng - (email), Yixiang Wu - (email)

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51

A nonlocal dispersal logistic equation with spatial degeneracy

Discrete and Continuous Dynamical Systems  Volume 35, Issue 7, Pages : 3217 - 3238, 2015

Jian-Wen Sun - (email), Wan-Tong Li - (email), Zhi-Cheng Wang - (email)

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52

Asymptotic behavior of solutions for competitive models with a free boundary

Discrete and Continuous Dynamical Systems  Volume 35, Issue 7, Pages : 3253 - 3276, 2015

Jian Yang - (email)

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53

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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54

Wolff type potential estimates and application to nonlinear equations with negative exponents

Discrete and Continuous Dynamical Systems  Volume 35, Issue 5, Pages : 2067 - 2078, 2014

Yutian Lei - (email)

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55

Asymptotic behavior for a nonlocal diffusion equation on the half line

Discrete and Continuous Dynamical Systems  Volume 35, Issue 4, Pages : 1391 - 1407, 2014

Carmen Cortázar - (email), Manuel Elgueta - (email), Fernando Quirós - (email), Noemí Wolanski - (email)

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56

Invasion entire solutions in a competition system with nonlocal dispersal

Discrete and Continuous Dynamical Systems  Volume 35, Issue 4, Pages : 1531 - 1560, 2014

Wan-Tong Li - (email), Li Zhang - (email), Guo-Bao Zhang - (email)

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57

Blow up of solutions of semilinear heat equations in non radial domains of $\mathbb{R}^2$

Discrete and Continuous Dynamical Systems  Volume 35, Issue 3, Pages : 891 - 907, 2014

Francesca De Marchis - (email), Isabella Ianni - (email)

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58

On the integral systems with negative exponents

Discrete and Continuous Dynamical Systems  Volume 35, Issue 3, Pages : 1039 - 1057, 2014

Yutian Lei - (email)

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59

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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60

A note on the existence and properties of evanescent solutions for nonlinear elliptic problems

Discrete and Continuous Dynamical Systems - Series B  Volume 19, Issue 8, Pages : 2631 - 2639, 2014

Aleksandra Orpel - (email)

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61

Asymptotically zero solution of a class of higher nonlinear neutral difference equations with quasidifferences

Discrete and Continuous Dynamical Systems - Series B  Volume 19, Issue 8, Pages : 2691 - 2696, 2014

Ewa Schmeidel - (email), Robert Jankowski - (email)

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62

A quasi-linear heat transmission problem in a periodic two-phase dilute composite. A functional analytic approach

Communications on Pure and Applied Analysis  Volume 13, Issue 6, Pages : 2509 - 2542, 2014

Massimo Lanza de Cristoforis - (email), aolo Musolino - (email)

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63

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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64

The existence of strong solutions to the $3D$ Zakharov-Kuznestov equation in a bounded domain

Discrete and Continuous Dynamical Systems  Volume 34, Issue 11, Pages : 4897 - 4910, 2014

Chuntian Wang - (email)

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65

On effects of sampling radius for the nonlocal Patlak-Keller-Segel chemotaxis model

Discrete and Continuous Dynamical Systems  Volume 34, Issue 11, Pages : 4911 - 4946, 2014

Tian Xiang - (email)

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66

The behavior of a beam fixed on small sets of one of its extremities

Discrete and Continuous Dynamical Systems  Volume 34, Issue 10, Pages : 4039 - 4070, 2014

Juan Casado-Díaz - (email), Manuel Luna-Laynez - (email), Francois Murat - (email)

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Martingale and pathwise solutions to the stochastic Zakharov-Kuznetsov equation with multiplicative noise

Discrete and Continuous Dynamical Systems - Series B  Volume 19, Issue 4, Pages : 1047 - 1085, 2014

Nathan Glatt-Holtz - (email), Roger Temam - (email), Chuntian Wang - (email)

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Inhomogeneous Patlak-Keller-Segel models and aggregation equations with nonlinear diffusion in $\mathbb{R}^d$

Discrete and Continuous Dynamical Systems - Series B  Volume 19, Issue 5, Pages : 1279 - 1309, 2014

Jacob Bedrossian - (email), Nancy Rodríguez - (email)

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69

Large time behaviour for a nonlocal diffusion - convection equation related with gas dynamics

Discrete and Continuous Dynamical Systems  Volume 34, Issue 9, Pages : 3575 - 3589, 2014

Liviu I. Ignat - (email), Ademir F. Pazoto - (email)

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70

Development of traveling waves in an interacting two-species chemotaxis model

Discrete and Continuous Dynamical Systems  Volume 34, Issue 7, Pages : 2907 - 2927, 2013

Tai-Chia Lin - (email), Zhi-An Wang - (email)

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71

Control of a Korteweg-de Vries equation: A tutorial

Mathematical Control and Related Fields  Volume 4, Issue 1, Pages : 45 - 99, 2013

Eduardo Cerpa - (email)

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72

Asymptotic behaviour of solutions to linear neutral delay differential equations with periodic coefficients

Communications on Pure and Applied Analysis  Volume 13, Issue 3, Pages : 1105 - 1117, 2013

Miguel V. S. Frasson - (email), Patricia H. Tacuri - (email)

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73

Asymptotic behavior of solutions to a coupled system of Maxwell's equations and a controlled differential inclusion

DCDS Supplements  Volume 2013, Issue special, Pages : 407 - 414, 2013

Dina Kalinichenko - (email), Volker Reitmann - (email), Sergey Skopinov - (email)

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74

Asymptotic behavior of solutions to the generalized cubic double dispersion equation in one space dimension

Kinetic and Related Models  Volume 6, Issue 4, Pages : 969 - 987, 2013

Masakazu Kato - (email), Yu-Zhu Wang - (email), Shuichi Kawashima - (email)

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75

Qualitative analysis of some PDE models of traffic flow

Networks and Heterogeneous Media  Volume 8, Issue 3, Pages : 773 - 781, 2013

Tong Li - (email)

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76

A note on the existence of global solutions for reaction-diffusion equations with almost-monotonic nonlinearities

Communications on Pure and Applied Analysis  Volume 13, Issue 2, Pages : 635 - 644, 2013

Aníbal Rodríguez-Bernal - (email), Alejandro Vidal-López - (email)

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77

A strongly singular parabolic problem on an unbounded domain

Communications on Pure and Applied Analysis  Volume 13, Issue 2, Pages : 789 - 809, 2013

G. P. Trachanas - (email), Nikolaos B. Zographopoulos - (email)

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78

Multi-existence of multi-solitons for the supercritical nonlinear Schrödinger equation in one dimension

Discrete and Continuous Dynamical Systems  Volume 34, Issue 5, Pages : 1961 - 1993, 2013

Vianney Combet - (email)

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79

A non-autonomous stochastic predator-prey model

Mathematical Biosciences and Engineering  Volume 11, Issue 2, Pages : 167 - 188, 2013

Aniello Buonocore - (email), Luigia Caputo - (email), Enrica Pirozzi - (email), Amelia G. Nobile - (email)

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80

Gauss-diffusion processes for modeling the dynamics of a couple of interacting neurons

Mathematical Biosciences and Engineering  Volume 11, Issue 2, Pages : 189 - 201, 2013

Aniello Buonocore - (email), Luigia Caputo - (email), Enrica Pirozzi - (email), Maria Francesca Carfora - (email)

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81

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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82

Asymptotic behavior of positive solutions for a class of quasilinear elliptic equations with general nonlinearities

Communications on Pure and Applied Analysis  Volume 13, Issue 1, Pages : 97 - 118, 2013

Shinji Adachi - (email), Masataka Shibata - (email), Tatsuya Watanabe - (email)

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83

Global dynamics and diffusion limit of a one-dimensional repulsive chemotaxis model

Communications on Pure and Applied Analysis  Volume 12, Issue 6, Pages : 3027 - 3046, 2013

Zhi-An Wang - (email), Kun Zhao - (email)

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84

Floquet representations and asymptotic behavior of periodic evolution families

Discrete and Continuous Dynamical Systems  Volume 33, Issue 11/12, Pages : 4795 - 4810, 2013

Fatih Bayazit - (email), Ulrich Groh - (email), Rainer Nagel - (email)

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85

On the asymptotic behavior of variational inequalities set in cylinders

Discrete and Continuous Dynamical Systems  Volume 33, Issue 11/12, Pages : 4875 - 4890, 2013

Michel Chipot - (email), Karen Yeressian - (email)

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86

Weighted energy method and long wave short wave decomposition on the linearized compressible Navier-Stokes equation

Networks and Heterogeneous Media  Volume 8, Issue 2, Pages : 465 - 479, 2013

Sun-Ho Choi - (email)

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87

Resonant decomposition and the $I$-method for the two-dimensional Zakharov system

Discrete and Continuous Dynamical Systems  Volume 33, Issue 9, Pages : 4095 - 4122, 2013

Nobu Kishimoto - (email)

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88

Global well-posedness and exponential stability for Kuznetsov's equation in $L_p$-spaces

Evolution Equations and Control Theory  Volume 2, Issue 2, Pages : 365 - 378, 2013

Stefan Meyer - (email), Mathias Wilke - (email)

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89

Controllability of a 1-D tank containing a fluid modeled by a Boussinesq system

Evolution Equations and Control Theory  Volume 2, Issue 2, Pages : 379 - 402, 2013

Dugan Nina - (email), Ademir Fernando Pazoto - (email), Lionel Rosier - (email)

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90

Global well-posedness of critical nonlinear Schrödinger equations below $L^2$

Discrete and Continuous Dynamical Systems  Volume 33, Issue 4, Pages : 1389 - 1405, 2012

Yonggeun Cho - (email), Gyeongha Hwang - (email), Tohru Ozawa - (email)

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91

On the principal eigenvalues of some elliptic problems with large drift

Discrete and Continuous Dynamical Systems  Volume 33, Issue 1, Pages : 225 - 237, 2012

Tomas Godoy - (email), Jean-Pierre Gossez - (email), Sofia Paczka - (email)

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92

Global well-posedness for the Kawahara equation with low regularity

Communications on Pure and Applied Analysis  Volume 12, Issue 3, Pages : 1321 - 1339, 2012

Takamori Kato - (email)

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93

Asymptotic behavior of solutions to the bipolar hydrodynamic model of semiconductors in bounded domain

Kinetic and Related Models  Volume 5, Issue 3, Pages : 537 - 550, 2012

Ming Mei - (email), Bruno Rubino - (email), Rosella Sampalmieri - (email)

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94

Asymptotic behavior of the ground state Solutions for Hénon equation with Robin boundary condition

Communications on Pure and Applied Analysis  Volume 12, Issue 6, Pages : 2393 - 2408, 2012

Haiyang He - (email)

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95

Asymptotics of blowup solutions for the aggregation equation

Discrete and Continuous Dynamical Systems - Series B  Volume 17, Issue 4, Pages : 1309 - 1331, 2012

Yanghong Huang - (email), Andrea Bertozzi - (email)

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96

Nonlinear stability of combination of viscous contact wave with rarefaction waves for a 1D radiation hydrodynamics model

Discrete and Continuous Dynamical Systems - Series B  Volume 17, Issue 3, Pages : 1075 - 1100, 2012

Feng Xie - (email)

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97

Multi-scale multi-profile global solutions of parabolic equations in $\mathbb{R}^N $

Discrete and Continuous Dynamical Systems - Series S  Volume 5, Issue 3, Pages : 449 - 472, 2011

Thierry Cazenave - (email), Flávio Dickstein - (email), Fred B. Weissler - (email)

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98

Best asymptotic profile for the system of compressible adiabatic flow through porous media on quadrant

Communications on Pure and Applied Analysis  Volume 11, Issue 2, Pages : 475 - 500, 2011

Shifeng Geng - (email), Zhen Wang - (email)

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99

Global stabilization of a coupled system of two generalized Korteweg-de Vries type equations posed on a finite domain

Mathematical Control and Related Fields  Volume 1, Issue 3, Pages : 353 - 389, 2011

Dugan Nina - (email), Ademir Fernando Pazoto - (email), Lionel Rosier - (email)

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100

Large solutions of elliptic systems of second order and applications to the biharmonic equation

Discrete and Continuous Dynamical Systems  Volume 32, Issue 2, Pages : 411 - 432, 2011

Marie-Françoise Bidaut-Véron - (email), Marta García-Huidobro - (email), Cecilia Yarur - (email)

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101

The periodic-parabolic logistic equation on $\mathbb{R}^N$

Discrete and Continuous Dynamical Systems  Volume 32, Issue 2, Pages : 619 - 641, 2011

Rui Peng - (email), Dong Wei - (email)

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102

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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103

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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104

Entire solutions with asymptotic behavior of fully nonlinear uniformly elliptic equations

Communications on Pure and Applied Analysis  Volume 10, Issue 6, Pages : 1707 - 1714, 2011

Limei Dai - (email)

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105

Even solutions of the Toda system with prescribed asymptotic behavior

Communications on Pure and Applied Analysis  Volume 10, Issue 6, Pages : 1779 - 1790, 2011

Yong Liu - (email)

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106

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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107

Global well-posedness of the Maxwell-Klein-Gordon equation below the energy norm

Discrete and Continuous Dynamical Systems  Volume 30, Issue 3, Pages : 573 - 621, 2011

M. Keel - (email), Tristan Roy - (email), Terence Tao - (email)

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108

Global classical solutions close to equilibrium to the Vlasov-Fokker-Planck-Euler system

Kinetic and Related Models  Volume 4, Issue 1, Pages : 227 - 258, 2011

José A. Carrillo - (email), Renjun Duan - (email), Ayman Moussa - (email)

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109

Asymptotic behaviour of a porous medium equation with fractional diffusion

Discrete and Continuous Dynamical Systems  Volume 29, Issue 4, Pages : 1393 - 1404, 2010

Luis Caffarelli - (email), Juan-Luis Vázquez - (email)

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110

Bootstrapped Morawetz estimates and resonant decomposition for low regularity global solutions of cubic NLS on $R^2$

Communications on Pure and Applied Analysis  Volume 10, Issue 2, Pages : 397 - 414, 2010

J. Colliander - (email), Tristan Roy - (email)

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111

A singular limit in a nonlinear problem arising in electromagnetism

Communications on Pure and Applied Analysis  Volume 10, Issue 2, Pages : 541 - 559, 2010

Frank Jochmann - (email)

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112

Asymptotic behavior of solutions to a model system of a radiating gas

Communications on Pure and Applied Analysis  Volume 10, Issue 1, Pages : 209 - 223, 2010

Yongqin Liu - (email), Shuichi Kawashima - (email)

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113

On the global regularity of axisymmetric Navier-Stokes-Boussinesq system

Discrete and Continuous Dynamical Systems  Volume 29, Issue 3, Pages : 737 - 756, 2010

Hammadi Abidi - (email), Taoufik Hmidi - (email), Sahbi Keraani - (email)

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114

Global existence and asymptotic behavior of solutions for quasi-linear dissipative plate equation

Discrete and Continuous Dynamical Systems  Volume 29, Issue 3, Pages : 1113 - 1139, 2010

Yongqin Liu - (email), Shuichi Kawashima - (email)

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115

Large-time asymptotics of the generalized Benjamin-Ono-Burgers equation

Discrete and Continuous Dynamical Systems - Series S  Volume 4, Issue 1, Pages : 15 - 50, 2010

Jerry L. Bona - (email), Laihan Luo - (email)

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116

Analysis of a delayed free boundary problem for tumor growth

Discrete and Continuous Dynamical Systems - Series B  Volume 15, Issue 1, Pages : 293 - 308, 2010

Shihe Xu - (email)

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117

Uniform stabilization in weighted Sobolev spaces for the KdV equation posed on the half-line

Discrete and Continuous Dynamical Systems - Series B  Volume 14, Issue 4, Pages : 1511 - 1535, 2010

Ademir Fernando Pazoto - (email), Lionel Rosier - (email)

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118

Translating solutions to mean curvature flow with a forcing term in Minkowski space

Communications on Pure and Applied Analysis  Volume 9, Issue 4, Pages : 963 - 973, 2010

Hongjie Ju - (email), Jian Lu - (email), Huaiyu Jian - (email)

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119

Properties of translating solutions to mean curvature flow

Discrete and Continuous Dynamical Systems  Volume 28, Issue 2, Pages : 441 - 453, 2010

Changfeng Gui - (email), Huaiyu Jian - (email), Hongjie Ju - (email)

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120

Limiting profiles of semilinear elliptic equations with large advection in population dynamics

Discrete and Continuous Dynamical Systems  Volume 28, Issue 3, Pages : 1051 - 1067, 2010

King-Yeung Lam - (email), Wei-Ming Ni - (email)

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121

The exponential behavior of the stochastic primitive equations in two dimensional space with multiplicative noise

Discrete and Continuous Dynamical Systems - Series B  Volume 14, Issue 1, Pages : 177 - 197, 2010

T. Tachim Medjo - (email)

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122

Asymptotic behavior of second-order nonlinear dynamic equations on time scales

Discrete and Continuous Dynamical Systems - Series B  Volume 13, Issue 3, Pages : 609 - 622, 2010

Raegan Higgins - (email)

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123

Exit problems related to the persistence of solitons for the Korteweg-de Vries equation with small noise

Discrete and Continuous Dynamical Systems  Volume 26, Issue 3, Pages : 857 - 871, 2009

Anne de Bouard - (email), Eric Gautier - (email)

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124

Dissipative quasi-geostrophic equations in critical Sobolev spaces: Smoothing effect and global well-posedness

Discrete and Continuous Dynamical Systems  Volume 26, Issue 4, Pages : 1197 - 1211, 2009

Hongjie Dong - (email)

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125

Low regularity global well-posedness for the nonlinear Schrödinger equation on closed manifolds

Communications on Pure and Applied Analysis  Volume 9, Issue 2, Pages : 261 - 280, 2009

Takafumi Akahori - (email)

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126

Classification of nonoscillatory solutions of nonlinear neutral differential equations

DCDS Supplements  Volume 2009, Issue Special, Pages : 340 - 348, 2009

Mustafa Hasanbulli - (email), Yuri V. Rogovchenko - (email)

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127

Perturbation of the exponential type of linear nonautonomous parabolic equations and applications to nonlinear equations

Discrete and Continuous Dynamical Systems  Volume 25, Issue 3, Pages : 1003 - 1032, 2009

A. Rodríguez-Bernal - (email)

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128

Global well-posedness for the $L^2$-critical Hartree equation on $\mathbb{R}^n$, $n\ge 3$

Communications on Pure and Applied Analysis  Volume 8, Issue 6, Pages : 1725 - 1743, 2009

Myeongju Chae - (email), Soonsik Kwon - (email)

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129

Stabilization towards the steady state for a viscous Hamilton-Jacobi equation

Communications on Pure and Applied Analysis  Volume 8, Issue 6, Pages : 1917 - 1924, 2009

Yuxiang Li - (email)

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130

A model describing the growth and the size distribution of multiple metastatic tumors

Discrete and Continuous Dynamical Systems - Series B  Volume 12, Issue 4, Pages : 731 - 767, 2009

Anne Devys - (email), Thierry Goudon - (email), Pauline Lafitte - (email)

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131

On long-time behavior of monocharged and neutral plasma in one and one-half dimensions

Kinetic and Related Models  Volume 2, Issue 3, Pages : 465 - 488, 2009

Robert Glassey - (email), Stephen Pankavich - (email), Jack Schaeffer - (email)

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132

On the long-time limit of positive solutions to the degenerate logistic equation

Discrete and Continuous Dynamical Systems  Volume 25, Issue 1, Pages : 123 - 132, 2009

Yihong Du - (email), Yoshio Yamada - (email)

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133

Adapted linear-nonlinear decomposition and global well-posedness for solutions to the defocusing cubic wave equation on $\mathbb{R}^{3}$

Discrete and Continuous Dynamical Systems  Volume 24, Issue 4, Pages : 1307 - 1323, 2009

Tristan Roy - (email)

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134

Stability of constant states and qualitative behavior of solutions to a one dimensional hyperbolic model of chemotaxis

Discrete and Continuous Dynamical Systems - Series B  Volume 12, Issue 1, Pages : 39 - 76, 2009

Francesca Romana Guarguaglini - (email), Corrado Mascia - (email), Roberto Natalini - (email), Magali Ribot - (email)

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135

Existence and asymptotic behavior of solutions to a moving boundary problem modeling the growth of multi-layer tumors

Communications on Pure and Applied Analysis  Volume 8, Issue 5, Pages : 1669 - 1688, 2009

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

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136

Rapid exponential stabilization for a linear Korteweg-de Vries equation

Discrete and Continuous Dynamical Systems - Series B  Volume 11, Issue 3, Pages : 655 - 668, 2009

Eduardo Cerpa - (email), Emmanuelle Crépeau - (email)

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137

Asymptotic behavior of solutions to elliptic equations in a coated body

Communications on Pure and Applied Analysis  Volume 8, Issue 4, Pages : 1251 - 1267, 2009

Jingyu Li - (email)

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138

Asymptotic behavior of solutions for some semilinear heat equations in $R^N$

Communications on Pure and Applied Analysis  Volume 8, Issue 4, Pages : 1351 - 1371, 2009

Kazuhiro Ishige - (email), Tatsuki Kawakami - (email)

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139

Over-populated tails for conservative-in-the-mean inelastic Maxwell models

Discrete and Continuous Dynamical Systems  Volume 24, Issue 1, Pages : 59 - 81, 2009

José A. Carrillo - (email), Stéphane Cordier - (email), Giuseppe Toscani - (email)

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140

Sharp well-posedness results for the BBM equation

Discrete and Continuous Dynamical Systems  Volume 23, Issue 4, Pages : 1241 - 1252, 2008

Jerry Bona - (email), Nikolay Tzvetkov - (email)

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141

Large time behavior of nonlocal aggregation models with nonlinear diffusion

Networks and Heterogeneous Media  Volume 3, Issue 4, Pages : 749 - 785, 2008

Martin Burger - (email), Marco Di Francesco - (email)

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142

On the asymptotic behavior of elliptic, anisotropic singular perturbations problems

Communications on Pure and Applied Analysis  Volume 8, Issue 1, Pages : 179 - 193, 2008

Michel Chipot - (email), Senoussi Guesmia - (email)

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143

Growth rates and nonuniform hyperbolicity

Discrete and Continuous Dynamical Systems  Volume 22, Issue 3, Pages : 509 - 528, 2008

Luis Barreira - (email), Claudia Valls - (email)

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144

The Cauchy problem for 1D compressible flows with density-dependent viscosity coefficients

Kinetic and Related Models  Volume 1, Issue 2, Pages : 313 - 330, 2008

Quansen Jiu - (email), Zhouping Xin - (email)

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145

Almost sure stability of some stochastic dynamical systems with memory

Discrete and Continuous Dynamical Systems  Volume 21, Issue 2, Pages : 571 - 593, 2008

Alexandra Rodkina - (email), Henri Schurz - (email), Leonid Shaikhet - (email)

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146

Low field regime for the relativistic Vlasov-Maxwell-Fokker-Planck system; the one and one half dimensional case

Kinetic and Related Models  Volume 1, Issue 1, Pages : 139 - 170, 2008

Mihai Bostan - (email), Thierry Goudon - (email)

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147

Asymptotic behavior of solution of hyperbolic problems on a cylindrical domain

DCDS Supplements  Volume 2007, Issue Special, Pages : 160 - 169, 2007

Bernard Brighi - (email), S. Guesmia - (email)

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148

Global well-posedness for the $L^2$ critical nonlinear Schrödinger equation in higher dimensions

Communications on Pure and Applied Analysis  Volume 6, Issue 4, Pages : 1023 - 1041, 2007

Daniela De Silva - (email), Nataša Pavlović - (email), Gigliola Staffilani - (email), Nikolaos Tzirakis - (email)

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149

Asymptotic behavior of solutions to semilinear wave equations with dissipative structure

DCDS Supplements  Volume 2007, Issue Special, Pages : 602 - 613, 2007

Hideo Kubo - (email)

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150

Interval oscillation of a second order nonlinear differential equation with a damping term

DCDS Supplements  Volume 2007, Issue Special, Pages : 883 - 891, 2007

Yuri V. Rogovchenko - (email), Fatoş Tuncay - (email)

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151

Global well-posedness for a periodic nonlinear Schrödinger equation in 1D and 2D

Discrete and Continuous Dynamical Systems  Volume 19, Issue 1, Pages : 37 - 65, 2007

Daniela De Silva - (email), Nataša Pavlović - (email), Gigliola Staffilani - (email), Nikolaos Tzirakis - (email)

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152

Renormalization group analysis of nonlinear diffusion equations with time dependent coefficients: Analytical results

Discrete and Continuous Dynamical Systems - Series B  Volume 7, Issue 4, Pages : 699 - 715, 2007

G. A. Braga - (email), Frederico Furtado - (email), Jussara M. Moreira - (email), Leonardo T. Rolla - (email)

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153

The asymptotic behavior of a population equation with diffusion and delayed birth process

Discrete and Continuous Dynamical Systems - Series B  Volume 7, Issue 4, Pages : 735 - 754, 2007

Genni Fragnelli - (email), A. Idrissi - (email), L. Maniar - (email)

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154

Two remarks on the generalised Korteweg de-Vries equation

Discrete and Continuous Dynamical Systems  Volume 18, Issue 1, Pages : 1 - 14, 2007

Terence Tao - (email)

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155

Blow-up and asymptotic behavior of solutions to a semilinear integrodifferential system

Communications on Pure and Applied Analysis  Volume 5, Issue 3, Pages : 435 - 446, 2006

Qiong Chen - (email), Chunlai Mu - (email), Zhaoyin Xiang - (email)

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156

Asymptotic selection of viscosity equilibria of semilinear evolution equations by the introduction of a slowly vanishing term

Discrete and Continuous Dynamical Systems  Volume 15, Issue 3, Pages : 921 - 938, 2006

Felipe Alvarez - (email), Alexandre Cabot - (email)

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157

Small data scattering for the Klein-Gordon equation with cubic convolution nonlinearity

Discrete and Continuous Dynamical Systems  Volume 15, Issue 3, Pages : 973 - 981, 2006

Hironobu Sasaki - (email)

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158

Stabilization towards a singular steady state with gradient blow-up for a diffusion-convection problem

Discrete and Continuous Dynamical Systems  Volume 14, Issue 1, Pages : 221 - 234, 2005

Philippe Souplet - (email), Juan-Luis Vázquez - (email)

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159

On a discrete version of the Korteweg-De Vries equation

DCDS Supplements  Volume 2005, Issue Special, Pages : 22 - 29, 2005

M. Agrotis - (email), S. Lafortune - (email), P.G. Kevrekidis - (email)

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160

Positive entire solutions of inhomogeneous semilinear elliptic equations with supercritical exponent

DCDS Supplements  Volume 2005, Issue Special, Pages : 50 - 59, 2005

Soohyun Bae - (email)

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161

Renormalization group calculation of asymptotically self-similar dynamics

DCDS Supplements  Volume 2005, Issue Special, Pages : 131 - 141, 2005

G. A. Braga - (email), Frederico Furtado - (email), Vincenzo Isaia - (email)

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162

Monotone local semiflows with saddle-point dynamics and applications to semilinear diffusion equations

DCDS Supplements  Volume 2005, Issue Special, Pages : 566 - 575, 2005

Monica Lazzo - (email), Paul G. Schmidt - (email)

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163

Time Delay In Necrotic Core Formation

Mathematical Biosciences and Engineering  Volume 2, Issue 3, Pages : 461 - 472, 2005

Marek Bodnar - (email), Urszula Foryś - (email)

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164

Critical-Point Analysis For Three-Variable Cancer Angiogenesis Models

Mathematical Biosciences and Engineering  Volume 2, Issue 3, Pages : 511 - 525, 2005

Urszula Foryś - (email), Yuri Kheifetz - (email), Yuri Kogan - (email)

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165

Global existence results for nonlinear Schrödinger equations with quadratic potentials

Discrete and Continuous Dynamical Systems  Volume 13, Issue 2, Pages : 385 - 398, 2005

Rémi Carles - (email)

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166

Asymptotic behavior of solutions to a perturbed p-Laplacian problem with Neumann condition

Discrete and Continuous Dynamical Systems  Volume 12, Issue 4, Pages : 595 - 606, 2005

Everaldo S. de Medeiros - (email), Jianfu Yang - (email)

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167

On the existence and asymptotic behavior of large solutions for a semilinear elliptic problem in $R^n$

Communications on Pure and Applied Analysis  Volume 4, Issue 1, Pages : 187 - 198, 2004

Haitao Yang - (email)

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168

The evolution of a tumor cord cell population

Communications on Pure and Applied Analysis  Volume 3, Issue 3, Pages : 331 - 352, 2004

Janet Dyson - (email), Rosanna Villella-Bressan - (email), G. F. Webb - (email)

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169

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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170

Asymptotic behavior of the $L^1$ norm of solutions to nonlinear parabolic equations

Communications on Pure and Applied Analysis  Volume 3, Issue 1, Pages : 151 - 159, 2004

P. R. Zingano - (email)

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171

On a limiting system in the Lotka--Volterra competition with cross-diffusion

Discrete and Continuous Dynamical Systems  Volume 10, Issue 1/2, Pages : 435 - 458, 2003

Yuan Lou - (email), Wei-Ming Ni - (email), Shoji Yotsutani - (email)

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172

Low regularity stability of solitons for the KDV equation

Communications on Pure and Applied Analysis  Volume 2, Issue 3, Pages : 277 - 296, 2003

S. Raynor - (email), G. Staffilani - (email)

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173

Universal solutions of the heat equation on $\mathbb R^N$

Discrete and Continuous Dynamical Systems  Volume 9, Issue 5, Pages : 1105 - 1132, 2003

Thierry Cazenave - (email), Flávio Dickstein - (email), Fred B. Weissler - (email)

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174

On blowing-up solutions of the Blasius equation

Discrete and Continuous Dynamical Systems  Volume 9, Issue 4, Pages : 985 - 992, 2003

Naoyuki Ishimura - (email), Shin'ya Matsui - (email)

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175

Uniform Gevrey regularity for the attractor of a damped wave equation

DCDS Supplements  Volume 2003, Issue Special, Pages : 305 - 312, 2003

Cedric Galusinski - (email), Serguei Zelik - (email)

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176

Global existence and asymptotic behavior of small solutions for semilinear dissipative wave equations

Discrete and Continuous Dynamical Systems  Volume 9, Issue 3, Pages : 651 - 662, 2003

Kosuke Ono - (email)

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177

On energy decay rate for linear damped systems

Discrete and Continuous Dynamical Systems  Volume 8, Issue 4, Pages : 851 - 864, 2002

Mohammed Aassila - (email)

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178

Asymptotic behavior in a general diffusive three-species predator-prey model

Communications on Pure and Applied Analysis  Volume 1, Issue 2, Pages : 253 - 267, 2002

E. J. Avila–Vales - (email), T. Montañez–May - (email)

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179

Moment attractivity, stability and contractivity exponents of stochastic dynamical systems

Discrete and Continuous Dynamical Systems  Volume 7, Issue 3, Pages : 487 - 515, 2001

Henri Schurz - (email)

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180

Regular solutions of the Vlasov-Poisson-Fokker-Planck system

Discrete and Continuous Dynamical Systems  Volume 6, Issue 4, Pages : 751 - 772, 2000

Kosuke Ono - (email), Walter A. Strauss - (email)

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181

Mutation, selection, and recombination in a model of phenotype evolution

Discrete and Continuous Dynamical Systems  Volume 6, Issue 1, Pages : 221 - 236, 1999

P. Magal - (email), G. F. Webb - (email)

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182

Longtime behavior of a homogenized model in viscoelastodynamics

Discrete and Continuous Dynamical Systems  Volume 4, Issue 2, Pages : 339 - 358, 1998

M. Grasselli - (email), Vittorino Pata - (email)

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183

Asymptotic behavior in time of solutions to the derivative nonlinear Schrödinger equation revisited

Discrete and Continuous Dynamical Systems  Volume 3, Issue 3, Pages : 383 - 400, 1997

Nakao Hayashi - (email), Pavel I. Naumkin - (email)

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184

Asymptotic behavior of solutions in nonlinear dynamic elasticity

Discrete and Continuous Dynamical Systems  Volume 1, Issue 2, Pages : 237 - 252, 1995

Irena Lasiecka - (email), W. Heyman - (email)

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185

On positive entire solutions to the Yamabe-type problem on the Heisenberg and stratified groups

Electronic Research Announcements of the AMS  Volume 3, Issue 0, Pages : 83 - 89,

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