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Global existence of solutions to an attraction-repulsion chemotaxis model with growth

Communications on Pure and Applied Analysis  Volume 16, Issue 3, Pages : 1037 - 1058, 2017

Sainan Wu - (email), Junping Shi - (email), Boying Wu - (email)

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2

Uniform $L^{\infty}$ boundedness for a degenerate parabolic-parabolic Keller-Segel model

Discrete and Continuous Dynamical Systems - Series B  Volume 22, Issue 2, Pages : 307 - 338, 2016

Wenting Cong - (email), Jian-Guo Liu - (email)

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3

A note on global existence to a higher-dimensional quasilinear chemotaxis system with consumption of chemoattractant

Discrete and Continuous Dynamical Systems - Series B  Volume 22, Issue 2, Pages : 669 - 686, 2016

Jiashan Zheng - (email), Yifu Wang - (email)

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4

On the Cauchy problem for a generalized two-component shallow water wave system with fractional higher-order inertia operators

Discrete and Continuous Dynamical Systems  Volume 37, Issue 3, Pages : 1509 - 1537, 2016

Huijun He - (email), Zhaoyang Yin - (email)

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5

Conserved quantities, global existence and blow-up for a generalized CH equation

Discrete and Continuous Dynamical Systems  Volume 37, Issue 3, Pages : 1733 - 1748, 2016

Long Wei - (email), Zhijun Qiao - (email), Yang Wang - (email), Shouming Zhou - (email)

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6

A global existence and blow-up threshold for Davey-Stewartson equations in $\mathbb{R}^3$

Discrete and Continuous Dynamical Systems - Series S  Volume 9, Issue 6, Pages : 1899 - 1912, 2016

Shiming Li - (email), Yongsheng Li - (email), Wei Yan - (email)

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7

Global existence of weak solutions to the three-dimensional Prandtl equations with a special structure

Discrete and Continuous Dynamical Systems - Series S  Volume 9, Issue 6, Pages : 2011 - 2029, 2016

Cheng-Jie Liu - (email), Ya-Guang Wang - (email), Tong Yang - (email)

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8

Boundedness of solutions to a quasilinear higher-dimensional chemotaxis--haptotaxis model with nonlinear diffusion

Discrete and Continuous Dynamical Systems  Volume 37, Issue 1, Pages : 627 - 643, 2016

Jiashan Zheng - (email)

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9

Blow-up of solutions to the periodic generalized modified Camassa-Holm equation with varying linear dispersion

Discrete and Continuous Dynamical Systems  Volume 37, Issue 1, Pages : 645 - 661, 2016

Min Zhu - (email), Ying Wang - (email)

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10

Asymptotic behaviors of solutions for finite difference analogue of the Chipot-Weissler equation

Discrete and Continuous Dynamical Systems - Series S  Volume 9, Issue 5, Pages : 1421 - 1445, 2016

Houda Hani - (email), Moez Khenissi - (email)

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Global existence and general decay estimates for the viscoelastic equation with acoustic boundary conditions

Discrete and Continuous Dynamical Systems  Volume 36, Issue 12, Pages : 6899 - 6919, 2016

Tae Gab Ha - (email)

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12

Blow-up of solutions to the periodic modified Camassa-Holm equation with varying linear dispersion

Discrete and Continuous Dynamical Systems  Volume 36, Issue 12, Pages : 7235 - 7256, 2016

Min Zhu - (email), Shuanghu Zhang - (email)

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13

A degenerate $p$-Laplacian Keller-Segel model

Kinetic and Related Models  Volume 9, Issue 4, Pages : 687 - 714, 2016

Wenting Cong - (email), Jian-Guo Liu - (email)

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14

Global existence for the 2D Navier-Stokes flow in the exterior of a moving or rotating obstacle

Kinetic and Related Models  Volume 9, Issue 4, Pages : 767 - 776, 2016

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

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15

On the compressible Navier-Stokes-Korteweg equations

Discrete and Continuous Dynamical Systems - Series B  Volume 21, Issue 8, Pages : 2745 - 2766, 2016

Tong Tang - (email), Hongjun Gao - (email)

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16

Global existence and time-decay estimates of solutions to the compressible Navier-Stokes-Smoluchowski equations

Discrete and Continuous Dynamical Systems  Volume 36, Issue 10, Pages : 5287 - 5307, 2016

Yingshan Chen - (email), Shijin Ding - (email), Wenjun Wang - (email)

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17

Blowup and ill-posedness results for a Dirac equation without gauge invariance

Evolution Equations and Control Theory  Volume 5, Issue 2, Pages : 225 - 234, 2016

Piero D'Ancona - (email), Mamoru Okamoto - (email)

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18

Boundedness in a quasilinear 2D parabolic-parabolic attraction-repulsion chemotaxis system

Discrete and Continuous Dynamical Systems - Series B  Volume 21, Issue 6, Pages : 1953 - 1973, 2016

Yilong Wang - (email), Zhaoyin Xiang - (email)

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19

Separated characteristics and global solvability for the one and one-half dimensional Vlasov Maxwell system

Kinetic and Related Models  Volume 9, Issue 3, Pages : 455 - 467, 2016

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

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20

Remarks on nonlinear elastic waves in the radial symmetry in 2-D

Discrete and Continuous Dynamical Systems  Volume 36, Issue 7, Pages : 4051 - 4062, 2016

Dongbing Zha - (email)

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21

Mathematical analysis of an in-host model of viral dynamics with spatial heterogeneity

Discrete and Continuous Dynamical Systems - Series B  Volume 21, Issue 4, Pages : 1237 - 1257, 2016

Stephen Pankavich - (email), Christian Parkinson - (email)

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22

Global regular solutions to two-dimensional thermoviscoelasticity

Communications on Pure and Applied Analysis  Volume 15, Issue 3, Pages : 1009 - 1028, 2016

Jerzy Gawinecki - (email), Wojciech M. Zajączkowski - (email)

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23

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

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

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

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24

One-dimensional aggregation equation after blow up: Existence, uniqueness and numerical simulation

Networks and Heterogeneous Media  Volume 11, Issue 1, Pages : 163 - 180, 2016

François James - (email), Nicolas Vauchelet - (email)

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25

Quantum hydrodynamics with nonlinear interactions

Discrete and Continuous Dynamical Systems - Series S  Volume 9, Issue 1, Pages : 1 - 13, 2015

Paolo Antonelli - (email), Pierangelo Marcati - (email)

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26

The path decomposition technique for systems of hyperbolic conservation laws

Discrete and Continuous Dynamical Systems - Series S  Volume 9, Issue 1, Pages : 15 - 32, 2015

Fumioki Asakura - (email), Andrea Corli - (email)

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27

Existence of solutions for a model of microwave heating

Discrete and Continuous Dynamical Systems  Volume 36, Issue 6, Pages : 3011 - 3034, 2015

Pierluigi Colli - (email), Luca Scarpa - (email)

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28

Global existence and boundedness in a parabolic-elliptic Keller-Segel system with general sensitivity

Discrete and Continuous Dynamical Systems - Series B  Volume 21, Issue 1, Pages : 81 - 102, 2015

Kentarou Fujie - (email), Takasi Senba - (email)

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29

Long-time behavior of solutions of the generalized Korteweg--de Vries equation

Discrete and Continuous Dynamical Systems - Series B  Volume 21, Issue 1, Pages : 245 - 252, 2015

Belkacem Said-Houari - (email)

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30

Global existence and low Mach number limit to the 3D compressible magnetohydrodynamic equations in a bounded domain

DCDS Supplements  Volume 2015, Issue special, Pages : 387 - 394, 2015

Jishan Fan - (email), Fucai Li - (email), Gen Nakamura - (email)

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31

A note on quasilinear wave equations in two space dimensions

Discrete and Continuous Dynamical Systems  Volume 36, Issue 5, Pages : 2855 - 2871, 2015

Dongbing Zha - (email)

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32

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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33

A note on global well-posedness and blow-up of some semilinear evolution equations

Evolution Equations and Control Theory  Volume 4, Issue 3, Pages : 355 - 372, 2015

Tarek Saanouni - (email)

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34

Global classical solutions of a 3D chemotaxis-Stokes system with rotation

Discrete and Continuous Dynamical Systems - Series B  Volume 20, Issue 9, Pages : 3235 - 3254, 2015

Yulan Wang - (email), Xinru Cao - (email)

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35

Blow up threshold for a parabolic type equation involving space integral and variational structure

Communications on Pure and Applied Analysis  Volume 14, Issue 6, Pages : 2169 - 2183, 2015

Baiyu Liu - (email), Li Ma - (email)

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36

On the blow-up of solutions to the periodic modified integrable Camassa--Holm equation

Discrete and Continuous Dynamical Systems  Volume 36, Issue 4, Pages : 2347 - 2364, 2015

Min Zhu - (email), Shuanghu Zhang - (email)

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37

Small perturbation of a semilinear pseudo-parabolic equation

Discrete and Continuous Dynamical Systems  Volume 36, Issue 2, Pages : 631 - 642, 2015

Yang Cao - (email), Jingxue Yin - (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

Parabolic elliptic type Keller-Segel system on the whole space case

Discrete and Continuous Dynamical Systems  Volume 36, Issue 2, Pages : 1061 - 1084, 2015

Jinhuan Wang - (email), Li Chen - (email), Liang Hong - (email)

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40

Global existence of solutions for the three-dimensional Boussinesq system with anisotropic data

Discrete and Continuous Dynamical Systems  Volume 36, Issue 3, Pages : 1563 - 1581, 2015

Yuming Qin - (email), Yang Wang - (email), Xing Su - (email), Jianlin Zhang - (email)

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41

Global existence and steady states of a two competing species Keller--Segel chemotaxis model

Kinetic and Related Models  Volume 8, Issue 4, Pages : 777 - 807, 2015

Qi Wang - (email), Lu Zhang - (email), Jingyue Yang - (email), Jia Hu - (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

On the Cauchy problem for a four-component Camassa-Holm type system

Discrete and Continuous Dynamical Systems  Volume 35, Issue 10, Pages : 5153 - 5169, 2015

Zeng Zhang - (email), Zhaoyang Yin - (email)

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44

Global and almost global existence of small solutions to a dissipative wave equation in 3D with nearly null nonlinear terms

Communications on Pure and Applied Analysis  Volume 14, Issue 4, Pages : 1407 - 1442, 2015

Boyan Jonov - (email), Thomas C. Sideris - (email)

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45

Global existence and optimal decay rates of solutions to a reduced gravity two and a half layer model

Communications on Pure and Applied Analysis  Volume 14, Issue 3, Pages : 981 - 1000, 2015

Haibo Cui - (email), Lei Yao - (email), Zheng-An Yao - (email)

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46

Multi-bump solutions for Schrödinger equation involving critical growth and potential wells

Discrete and Continuous Dynamical Systems  Volume 35, Issue 8, Pages : 3393 - 3415, 2015

Yuxia Guo - (email), Zhongwei Tang - (email)

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47

Global existence and boundedness for chemotaxis-Navier-Stokes systems with position-dependent sensitivity in 2D bounded domains

Discrete and Continuous Dynamical Systems  Volume 35, Issue 8, Pages : 3463 - 3482, 2015

Sachiko Ishida - (email)

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48

Boundedness in quasilinear Keller-Segel equations with nonlinear sensitivity and logistic source

Discrete and Continuous Dynamical Systems  Volume 35, Issue 8, Pages : 3503 - 3531, 2015

Xie Li - (email), Zhaoyin Xiang - (email)

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49

Global estimates and blow-up criteria for the generalized Hunter-Saxton system

Discrete and Continuous Dynamical Systems - Series B  Volume 20, Issue 2, Pages : 641 - 673, 2015

Alejandro Sarria - (email)

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50

On regular solutions of the $3$D compressible isentropic Euler-Boltzmann equations with vacuum

Discrete and Continuous Dynamical Systems  Volume 35, Issue 7, Pages : 3059 - 3086, 2015

Yachun Li - (email), Shengguo Zhu - (email)

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51

Global solutions of a Keller--Segel system with saturated logarithmic sensitivity function

Communications on Pure and Applied Analysis  Volume 14, Issue 2, Pages : 383 - 396, 2014

Qi Wang - (email)

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52

Singularity formation for relativistic Euler and Euler-Poisson equations with repulsive force

Communications on Pure and Applied Analysis  Volume 14, Issue 2, Pages : 549 - 564, 2014

Yongcai Geng - (email)

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53

Refined blow-up results for nonlinear fourth order differential equations

Communications on Pure and Applied Analysis  Volume 14, Issue 2, Pages : 677 - 693, 2014

Filippo Gazzola - (email), Paschalis Karageorgis - (email)

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54

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

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

Ying Fu - (email)

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55

Blow-up for the two-component Camassa--Holm system

Discrete and Continuous Dynamical Systems  Volume 35, Issue 5, Pages : 2041 - 2051, 2014

Katrin Grunert - (email)

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56

One-parameter solutions of the Euler-Arnold equation on the contactomorphism group

Discrete and Continuous Dynamical Systems  Volume 35, Issue 5, Pages : 2123 - 2130, 2014

Stephen C. Preston - (email), Alejandro Sarria - (email)

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57

Center of planar quintic quasi--homogeneous polynomial differential systems

Discrete and Continuous Dynamical Systems  Volume 35, Issue 5, Pages : 2177 - 2191, 2014

Yilei Tang - (email), Long Wang - (email), Xiang Zhang - (email)

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58

Global classical solutions for the "One and one-half'' dimensional relativistic Vlasov-Maxwell-Fokker-Planck system

Kinetic and Related Models  Volume 8, Issue 1, Pages : 169 - 199, 2014

Stephen Pankavich - (email), Nicholas Michalowski - (email)

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59

Avoidance behavior in intraguild predation communities: A cross-diffusion model

Discrete and Continuous Dynamical Systems  Volume 35, Issue 4, Pages : 1641 - 1663, 2014

Daniel Ryan - (email), Robert Stephen Cantrell - (email)

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60

Qualitative analysis of a Lotka-Volterra competition system with advection

Discrete and Continuous Dynamical Systems  Volume 35, Issue 3, Pages : 1239 - 1284, 2014

Qi Wang - (email), Chunyi Gai - (email), Jingda Yan - (email)

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61

On the initial value problem for higher dimensional Camassa-Holm equations

Discrete and Continuous Dynamical Systems  Volume 35, Issue 3, Pages : 1327 - 1358, 2014

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

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62

On a generalized Cahn-Hilliard equation with biological applications

Discrete and Continuous Dynamical Systems - Series B  Volume 19, Issue 7, Pages : 2013 - 2026, 2014

Laurence Cherfils - (email), Alain Miranville - (email), Sergey Zelik - (email)

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63

Existence, decay and blow-up for solutions to the sixth-order generalized Boussinesq equation

Discrete and Continuous Dynamical Systems  Volume 35, Issue 1, Pages : 117 - 137, 2014

Akmel Dé Godefroy - (email)

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64

Decay rates of the compressible Navier-Stokes-Korteweg equations with potential forces

Discrete and Continuous Dynamical Systems  Volume 35, Issue 1, Pages : 513 - 536, 2014

Wenjun Wang - (email), Weike Wang - (email)

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65

On global existence for the Gierer-Meinhardt system

Discrete and Continuous Dynamical Systems  Volume 35, Issue 1, Pages : 583 - 591, 2014

Henghui Zou - (email)

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66

Existence of unbounded solutions of a linear homogenous system of differential equations with two delays

Discrete and Continuous Dynamical Systems - Series B  Volume 19, Issue 8, Pages : 2447 - 2459, 2014

Josef Diblík - (email), Radoslav Chupáč - (email), Miroslava Růžičková - (email)

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67

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

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

Tadahiro Oh - (email)

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68

Global existence of solutions for the thermoelastic Bresse system

Communications on Pure and Applied Analysis  Volume 13, Issue 4, Pages : 1395 - 1406, 2014

Yuming Qin - (email), Xinguang Yang - (email), Zhiyong Ma - (email)

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69

Existence and nonexistence of local/global solutions for a nonhomogeneous heat equation

Communications on Pure and Applied Analysis  Volume 13, Issue 4, Pages : 1465 - 1480, 2014

Xie Li - (email), Zhaoyin Xiang - (email)

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70

Global strong solution to the two-dimensional density-dependent magnetohydrodynamic equations with vaccum

Communications on Pure and Applied Analysis  Volume 13, Issue 4, Pages : 1481 - 1490, 2014

Jishan Fan - (email), Fucai Li - (email), Gen Nakamura - (email)

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71

Rotation-strain decomposition for the incompressible viscoelasticity in two dimensions

Discrete and Continuous Dynamical Systems  Volume 34, Issue 7, Pages : 2861 - 2871, 2013

Zhen Lei - (email)

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72

Small data solutions for semilinear wave equations with effective damping

DCDS Supplements  Volume 2013, Issue special, Pages : 183 - 191, 2013

Marcello D'Abbicco - (email)

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73

Remarks on the global existence of weak solutions to quasilinear degenerate Keller-Segel systems

DCDS Supplements  Volume 2013, Issue special, Pages : 345 - 354, 2013

Sachiko Ishida - (email), Tomomi Yokota - (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

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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76

The global solvability of a sixth order Cahn-Hilliard type equation via the Bäcklund transformation

Communications on Pure and Applied Analysis  Volume 13, Issue 2, Pages : 859 - 880, 2013

Irena Pawłow - (email), Wojciech M. Zajączkowski - (email)

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77

Solutions with clustered bubbles and a boundary layer of an elliptic problem

Discrete and Continuous Dynamical Systems  Volume 34, Issue 5, Pages : 2333 - 2357, 2013

Liping Wang - (email), Chunyi Zhao - (email)

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78

Global solutions and exponential attractors of a parabolic-parabolic system for chemotaxis with subquadratic degradation

Discrete and Continuous Dynamical Systems - Series B  Volume 18, Issue 10, Pages : 2627 - 2646, 2013

Etsushi Nakaguchi - (email), Koichi Osaki - (email)

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79

Well-posedness for a model of individual clustering

Discrete and Continuous Dynamical Systems - Series B  Volume 18, Issue 10, Pages : 2647 - 2668, 2013

Elissar Nasreddine - (email)

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80

Two-dimensional individual clustering model

Discrete and Continuous Dynamical Systems - Series S  Volume 7, Issue 2, Pages : 307 - 316, 2013

Elissar Nasreddine - (email)

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81

Global existence of small-norm solutions in the reduced Ostrovsky equation

Discrete and Continuous Dynamical Systems  Volume 34, Issue 2, Pages : 557 - 566, 2013

Roger Grimshaw - (email), Dmitry Pelinovsky - (email)

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82

Boundedness in a parabolic-parabolic quasilinear chemotaxis system with logistic source

Discrete and Continuous Dynamical Systems  Volume 34, Issue 2, Pages : 789 - 802, 2013

Liangchen Wang - (email), Yuhuan Li - (email), Chunlai Mu - (email)

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83

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

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

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

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84

Crystalline motion of spiral-shaped polygonal curves with a tip motion

Discrete and Continuous Dynamical Systems - Series S  Volume 7, Issue 1, Pages : 53 - 62, 2013

Tetsuya Ishiwata - (email)

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85

Global existence via a multivalued operator for an Allen-Cahn-Gurtin equation

Discrete and Continuous Dynamical Systems  Volume 33, Issue 11/12, Pages : 5347 - 5377, 2013

Michel Pierre - (email), Morgan Pierre - (email)

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86

Global existence and large time behavior of solutions to the electric-magnetohydrodynamic equations

Kinetic and Related Models  Volume 6, Issue 3, Pages : 481 - 503, 2013

Dongfen Bian - (email), Boling Guo - (email)

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87

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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88

Existence and exponential decay for a nonlinear wave equation with nonlocal boundary conditions

Communications on Pure and Applied Analysis  Volume 12, Issue 5, Pages : 2001 - 2029, 2013

Le Thi Phuong Ngoc - (email), Nguyen Thanh Long - (email)

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89

Non-hamiltonian Schrödinger systems

Discrete and Continuous Dynamical Systems - Series S  Volume 6, Issue 3, Pages : 761 - 770, 2012

Sandra Lucente - (email), Eugenio Montefusco - (email)

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90

Growth order and blow up points for the parabolic Burgers' equation under dynamical boundary conditions

Discrete and Continuous Dynamical Systems - Series S  Volume 6, Issue 3, Pages : 825 - 836, 2012

Joachim von Below - (email), Gaëlle Pincet Mailly - (email), Jean-François Rault - (email)

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91

$L_p$-theory for a Cahn-Hilliard-Gurtin system

Evolution Equations and Control Theory  Volume 1, Issue 2, Pages : 393 - 429, 2012

Mathias Wilke - (email)

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92

Global existence and stability for a hydrodynamic system in the nematic liquid crystal flows

Communications on Pure and Applied Analysis  Volume 12, Issue 1, Pages : 341 - 357, 2012

Jihong Zhao - (email), Qiao Liu - (email), Shangbin Cui - (email)

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93

On global existence of classical solutions for the Vlasov-Poisson system in convex bounded domains

Discrete and Continuous Dynamical Systems  Volume 33, Issue 2, Pages : 723 - 737, 2012

Hyung Ju Hwang - (email), Jaewoo Jung - (email), Juan J. L. Velázquez - (email)

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94

Globally weak solutions to the flow of compressible liquid crystals system

Discrete and Continuous Dynamical Systems  Volume 33, Issue 2, Pages : 757 - 788, 2012

Xian-Gao Liu - (email), Jie Qing - (email)

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95

Blow-up for semilinear parabolic equations with critical Sobolev exponent

Communications on Pure and Applied Analysis  Volume 12, Issue 2, Pages : 1103 - 1110, 2012

Li Ma - (email)

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96

Numerical null controllability of semi-linear 1-D heat equations: Fixed point, least squares and Newton methods

Mathematical Control and Related Fields  Volume 2, Issue 3, Pages : 217 - 246, 2012

Enrique Fernández-Cara - (email), Arnaud Münch - (email)

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97

Blow-up phenomena in reaction-diffusion systems

Discrete and Continuous Dynamical Systems  Volume 32, Issue 11, Pages : 4001 - 4014, 2012

Monica Marras - (email), Stella Vernier Piro - (email)

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98

Preconditioning operators and $L^\infty$ attractor for a class of reaction-diffusion systems

Communications on Pure and Applied Analysis  Volume 11, Issue 6, Pages : 2179 - 2199, 2012

Boris Andreianov - (email), Halima Labani - (email)

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99

On the Lagrangian averaged Euler equations: local well-posedness and blow-up criterion

Communications on Pure and Applied Analysis  Volume 11, Issue 5, Pages : 1809 - 1823, 2012

Xinwei Yu - (email), Zhichun Zhai - (email)

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100

Global well-posedness and scattering for Skyrme wave maps

Communications on Pure and Applied Analysis  Volume 11, Issue 5, Pages : 1923 - 1933, 2012

Dan-Andrei Geba - (email), Kenji Nakanishi - (email), Sarada G. Rajeev - (email)

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101

Blow-up for the heat equation with a general memory boundary condition

Communications on Pure and Applied Analysis  Volume 11, Issue 5, Pages : 2147 - 2156, 2012

Keng Deng - (email), Zhihua Dong - (email)

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102

Global existence and boundedness in a Keller-Segel-Stokes model with arbitrary porous medium diffusion

Discrete and Continuous Dynamical Systems  Volume 32, Issue 5, Pages : 1901 - 1914, 2012

Youshan Tao - (email), Michael Winkler - (email)

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103

Stability of the two dimensional magnetohydrodynamic flows in $\mathbb{R}^3$

Discrete and Continuous Dynamical Systems - Series B  Volume 17, Issue 3, Pages : 1061 - 1073, 2012

Keyan Wang - (email), Yi Du - (email)

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104

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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105

Global existence and long-time behavior of entropy weak solutions to a quasilinear hyperbolic blood flow model

Networks and Heterogeneous Media  Volume 6, Issue 4, Pages : 625 - 646, 2011

Tong Li - (email), Kun Zhao - (email)

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106

Exponential decay for solutions to semilinear damped wave equation

Discrete and Continuous Dynamical Systems - Series S  Volume 5, Issue 3, Pages : 559 - 566, 2011

Stéphane Gerbi - (email), Belkacem Said-Houari - (email)

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107

A family of nonlinear diffusions connecting Perona-Malik to standard diffusion

Discrete and Continuous Dynamical Systems - Series S  Volume 5, Issue 3, Pages : 581 - 590, 2011

Patrick Guidotti - (email)

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108

Blow-up, global existence and standing waves for the magnetic nonlinear Schrödinger equations

Discrete and Continuous Dynamical Systems  Volume 32, Issue 3, Pages : 827 - 846, 2011

Zaihui Gan - (email), Jian Zhang - (email)

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109

On a quasilinear hyperbolic system in blood flow modeling

Discrete and Continuous Dynamical Systems - Series B  Volume 16, Issue 1, Pages : 333 - 344, 2011

Tong Li - (email), Kun Zhao - (email)

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110

Blowing up at zero points of potential for an initial boundary value problem

Communications on Pure and Applied Analysis  Volume 10, Issue 1, Pages : 161 - 177, 2010

Jong-Shenq Guo - (email), Masahiko Shimojo - (email)

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111

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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112

Regular flows of weakly compressible viscoelastic fluids and the incompressible limit

Discrete and Continuous Dynamical Systems - Series B  Volume 14, Issue 3, Pages : 1001 - 1028, 2010

Colette Guillopé - (email), Zaynab Salloum - (email), Raafat Talhouk - (email)

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113

Global existence for high dimensional quasilinear wave equations exterior to star-shaped obstacles

Discrete and Continuous Dynamical Systems  Volume 28, Issue 4, Pages : 1589 - 1601, 2010

Jason Metcalfe - (email), Christopher D. Sogge - (email)

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114

Kirchhoff systems with nonlinear source and boundary damping terms

Communications on Pure and Applied Analysis  Volume 9, Issue 5, Pages : 1161 - 1188, 2010

Giuseppina Autuori - (email), Patrizia Pucci - (email)

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115

On the global smooth solution to 2-D fluid/particle system

Discrete and Continuous Dynamical Systems  Volume 27, Issue 1, Pages : 237 - 263, 2010

Lingbing He - (email)

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116

Mathematical theory of viscous fluids: Retrospective and future perspectives

Discrete and Continuous Dynamical Systems  Volume 27, Issue 2, Pages : 533 - 555, 2010

Eduard Feireisl - (email)

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117

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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118

Looking for critical nonlinearity in the one-dimensional quasilinear Smoluchowski-Poisson system

Discrete and Continuous Dynamical Systems  Volume 26, Issue 2, Pages : 417 - 430, 2009

Tomasz Cieślak - (email), Philippe Laurençot - (email)

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119

The surface diffusion flow on rough phase spaces

Discrete and Continuous Dynamical Systems  Volume 26, Issue 2, Pages : 431 - 453, 2009

Joachim Escher - (email), Piotr B. Mucha - (email)

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120

A Sobolev space approach for global solutions to certain semi-linear heat equations in bounded domains

DCDS Supplements  Volume 2009, Issue Special, Pages : 574 - 582, 2009

Jason R. Morris - (email)

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121

Almost cubic nonlinear Schrödinger equation: Existence, uniqueness and scattering

Communications on Pure and Applied Analysis  Volume 8, Issue 6, Pages : 1803 - 1823, 2009

Alp Eden - (email), Elİf Kuz - (email)

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122

Global existence and exponential stability in $H^4$ for the nonlinear compressible Navier-Stokes equations

Communications on Pure and Applied Analysis  Volume 8, Issue 6, Pages : 1991 - 2012, 2009

Yuming Qin - (email), Lan Huang - (email), Zhiyong Ma - (email)

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123

Global existence and blow-up phenomena for a weakly dissipative Degasperis-Procesi equation

Discrete and Continuous Dynamical Systems - Series B  Volume 12, Issue 3, Pages : 633 - 645, 2009

Shuyin Wu - (email), Joachim Escher - (email), Zhaoyang Yin - (email)

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124

Global existence and exponential decay rates for the Westervelt equation

Discrete and Continuous Dynamical Systems - Series S  Volume 2, Issue 3, Pages : 503 - 523, 2009

Barbara Kaltenbacher - (email), Irena Lasiecka - (email)

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125

Cross-constrained variational methods for the nonlinear Klein-Gordon equations with an inverse square potential

Communications on Pure and Applied Analysis  Volume 8, Issue 5, Pages : 1541 - 1554, 2009

Zaihui Gan - (email)

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126

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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127

Sharp threshold of global existence for the generalized Davey-Stewartson system in $R^2$

Communications on Pure and Applied Analysis  Volume 8, Issue 3, Pages : 913 - 922, 2009

Zaihui Gan - (email), Boling Guo - (email), Jian Zhang - (email)

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128

Global existence for nonlinear parabolic equations with a damping term

Communications on Pure and Applied Analysis  Volume 8, Issue 3, Pages : 923 - 953, 2009

Daniela Giachetti - (email), Maria Michaela Porzio - (email)

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129

$L^2$-concentration phenomenon for Zakharov system below energy norm II

Communications on Pure and Applied Analysis  Volume 8, Issue 3, Pages : 1117 - 1132, 2009

Sijia Zhong - (email), Daoyuan Fang - (email)

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130

Remarks on global existence and blowup for damped nonlinear Schrödinger equations

Discrete and Continuous Dynamical Systems  Volume 23, Issue 4, Pages : 1313 - 1325, 2008

Masahoto Ohta - (email), Grozdena Todorova - (email)

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131

Nonlocal heat flows preserving the L2 energy

Discrete and Continuous Dynamical Systems  Volume 23, Issue 1/2, Pages : 49 - 64, 2008

Luis Caffarelli - (email), Fanghua Lin - (email)

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132

Global well-posedness for a transport equation with non-local velocity and critical diffusion

Communications on Pure and Applied Analysis  Volume 7, Issue 5, Pages : 1203 - 1210, 2008

Keyan Wang - (email)

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133

Solutions with interior bubble and boundary layer for an elliptic problem

Discrete and Continuous Dynamical Systems  Volume 21, Issue 1, Pages : 333 - 351, 2008

Liping Wang - (email), Juncheng Wei - (email)

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134

Potential well method for initial boundary value problem of the generalized double dispersion equations

Communications on Pure and Applied Analysis  Volume 7, Issue 1, Pages : 63 - 81, 2007

Yacheng Liu - (email), Runzhang Xu - (email)

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135

3D convective Cahn--Hilliard equation

Communications on Pure and Applied Analysis  Volume 6, Issue 4, Pages : 1075 - 1086, 2007

Alp Eden - (email), Varga K. Kalantarov - (email)

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136

Blow up for some nonlinear parabolic problems with convection under dynamical boundary conditions

DCDS Supplements  Volume 2007, Issue Special, Pages : 1031 - 1041, 2007

Joachim von Below - (email), Gaëlle Pincet Mailly - (email)

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137

Sharp global existence and blowing up results for inhomogeneous Schrödinger equations

Discrete and Continuous Dynamical Systems - Series B  Volume 8, Issue 2, Pages : 357 - 367, 2007

Jianqing Chen - (email), Boling Guo - (email)

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138

Some remarks on a singular reaction-diffusion system arising in predator-prey modeling

Discrete and Continuous Dynamical Systems - Series B  Volume 8, Issue 1, Pages : 61 - 72, 2007

Sebastién Gaucel - (email), Michel Langlais - (email)

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139

Phase transitions in a coupled viscoelastic system with periodic initial-boundary condition: (I) Existence and uniform boundedness

Discrete and Continuous Dynamical Systems - Series B  Volume 7, Issue 4, Pages : 825 - 837, 2007

Ming Mei - (email), Yau Shu Wong - (email), Liping Liu - (email)

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140

On small amplitude solutions to the generalized Boussinesq equations

Discrete and Continuous Dynamical Systems  Volume 17, Issue 4, Pages : 691 - 711, 2007

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

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141

Global existence for chemotaxis with finite sampling radius

Discrete and Continuous Dynamical Systems - Series B  Volume 7, Issue 1, Pages : 125 - 144, 2006

T. Hillen - (email), K. Painter - (email), Christian Schmeiser - (email)

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142

Wave equations and reaction-diffusion equations with several nonlinear source terms of different sign

Discrete and Continuous Dynamical Systems - Series B  Volume 7, Issue 1, Pages : 171 - 189, 2006

Yacheng Liu - (email), Runzhang Xu - (email)

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143

On a nonlinear Schrödinger equation modelling ultra-short laser pulses with a large noncompact global attractor

Discrete and Continuous Dynamical Systems  Volume 17, Issue 1, Pages : 121 - 132, 2006

Rolci Cipolatti - (email), Otared Kavian - (email)

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144

Global existence results for complex hyperbolic models of bacterial chemotaxis

Discrete and Continuous Dynamical Systems - Series B  Volume 6, Issue 6, Pages : 1239 - 1260, 2006

Radek Erban - (email), Hyung Ju Hwang - (email)

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145

Boltzmann equation with external force and Vlasov-Poisson-Boltzmann system in infinite vacuum

Discrete and Continuous Dynamical Systems  Volume 16, Issue 1, Pages : 253 - 277, 2006

Renjun Duan - (email), Tong Yang - (email), Changjiang Zhu - (email)

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146

On two-phase Stefan problem arising from a microwave heating process

Discrete and Continuous Dynamical Systems  Volume 15, Issue 4, Pages : 1155 - 1168, 2006

V. S. Manoranjan - (email), Hong-Ming Yin - (email), R. Showalter - (email)

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147

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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148

On global well-posedness for a class of nonlocal dispersive wave equations

Discrete and Continuous Dynamical Systems  Volume 15, Issue 2, Pages : 657 - 668, 2006

Luc Molinet - (email), Francis Ribaud - (email)

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149

Global existence of solutions of an activator-inhibitor system

Discrete and Continuous Dynamical Systems  Volume 14, Issue 4, Pages : 737 - 751, 2006

Huiqiang Jiang - (email)

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150

Global existence and blow-up to a reaction-diffusion system with nonlinear memory

Communications on Pure and Applied Analysis  Volume 4, Issue 4, Pages : 721 - 733, 2005

Lili Du - (email), Chunlai Mu - (email), Zhaoyin Xiang - (email)

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151

Drift-diffusion limits of kinetic models for chemotaxis: A generalization

Discrete and Continuous Dynamical Systems - Series B  Volume 5, Issue 2, Pages : 319 - 334, 2005

H.J. Hwang - (email), K. Kang - (email), A. Stevens - (email)

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152

Global well-posedness of the viscous Boussinesq equations

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

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

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153

Global existence of solutions to a cross-diffusion system in higher dimensional domains

Discrete and Continuous Dynamical Systems  Volume 12, Issue 2, Pages : 185 - 192, 2004

Yi Li - (email), Chunshan Zhao - (email)

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154

A reaction-diffusion system modeling direct and indirect transmission of diseases

Discrete and Continuous Dynamical Systems - Series B  Volume 4, Issue 4, Pages : 893 - 910, 2004

W. E. Fitzgibbon - (email), M. Langlais - (email), J.J. Morgan - (email)

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155

A mathematical model for the propagation of a hantavirus in structured populations

Discrete and Continuous Dynamical Systems - Series B  Volume 4, Issue 4, Pages : 1065 - 1089, 2004

Cédric Wolf - (email)

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156

Well-posedness, blowup, and global existence for an integrable shallow water equation

Discrete and Continuous Dynamical Systems  Volume 11, Issue 2/3, Pages : 393 - 411, 2004

Zhaoyang Yin - (email)

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157

Existence of global solutions for the Shigesada-Kawasaki-Teramoto model with strongly coupled cross-diffusion

Discrete and Continuous Dynamical Systems  Volume 10, Issue 3, Pages : 719 - 730, 2004

Y. S. Choi - (email), Roger Lui - (email), Yoshio Yamada - (email)

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158

Global existence and blow-up of solutions to a nonlocal reaction-diffusion system

Discrete and Continuous Dynamical Systems  Volume 9, Issue 6, Pages : 1519 - 1532, 2003

Shu-Xiang Huang - (email), Fu-Cai Li - (email), Chun-Hong Xie - (email)

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159

On the Lyapunov functions for the solutions of the generalized Burgers equation

Communications on Pure and Applied Analysis  Volume 2, Issue 3, Pages : 391 - 410, 2003

Ezzeddine Zahrouni - (email)

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160

Blow up of the isosceles 3--body problem with an infinitesimal mass

Discrete and Continuous Dynamical Systems  Volume 9, Issue 5, Pages : 1149 - 1173, 2003

Martha Alvarez-Ramírez - (email), Joaquín Delgado - (email)

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161

Existence of global solutions for the Shigesada-Kawasaki-Teramoto model with weak cross-diffusion

Discrete and Continuous Dynamical Systems  Volume 9, Issue 5, Pages : 1193 - 1200, 2003

Y. S. Choi - (email), Roger Lui - (email), Yoshio Yamada - (email)

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162

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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163

Breakdown of $C^1$ solution to the Cauchy problem for quasilinear hyperbolic systems with characteristics with constant multiplicity

Communications on Pure and Applied Analysis  Volume 2, Issue 1, Pages : 77 - 89, 2002

Libin Wang - (email)

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164

Large time decay estimates of solutions of nonlinear parabolic equations

Discrete and Continuous Dynamical Systems  Volume 8, Issue 1, Pages : 69 - 114, 2001

Huijiang Zhao - (email)

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165

On Maxwell's system with a thermal effect

Discrete and Continuous Dynamical Systems - Series B  Volume 1, Issue 4, Pages : 485 - 494, 2001

J. J. Morgan - (email), Hong-Ming Yin - (email)

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166

Numerical approximation of a parabolic problem with a nonlinear boundary condition

Discrete and Continuous Dynamical Systems  Volume 4, Issue 3, Pages : 497 - 506, 1998

R.G. Duran - (email), J.I. Etcheverry - (email), J.D. Rossi - (email)

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167

On the global existence of a cross-diffusion system

Discrete and Continuous Dynamical Systems  Volume 4, Issue 2, Pages : 193 - 203, 1998

Yuan Lou - (email), Wei-Ming Ni - (email), Yaping Wu - (email)

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168

Breakdown of solutions to $\square u+u_t=|u|^{1+\alpha}$

Discrete and Continuous Dynamical Systems  Volume 1, Issue 4, Pages : 503 - 520, 1995

Tatsien Li - (email), Yi Zhou - (email)

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169

Large time decay estimates of solutions of nonlinear parabolic equations

Discrete and Continuous Dynamical Systems  Volume 1, Issue 4, Pages : 69 - 114,

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170

Global solutions of the equations of elastodynamics for incompressible materials

Electronic Research Announcements of the AMS  Volume 2, Issue 0, Pages : 50 - 59,

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