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Discrete and Continuous Dynamical Systems - Series A (DCDS-A)
 

Volume 26,Number 4,     April 2010

Special Issue on Recent Progress on Partial Differential Equations Modeling Fluids and Complex Fluids

1

Preface   Pages : i - iii

Ning Ju,  Xiaoming Wang and Jiahong Wu

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2

A KdV-type Boussinesq system: From the energy level to analytic spaces   Pages : 1121 - 1139

Jerry L. Bona,  Zoran Grujić and Henrik Kalisch

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3

Sufficient conditions for the regularity to the 3D Navier-Stokes equations   Pages : 1141 - 1151

Chongsheng Cao

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4

Solitary-wave solutions to Boussinesq systems with large surface tension   Pages : 1153 - 1184

Min Chen,  Nghiem V. Nguyen and Shu-Ming Sun

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5

Global regularity of solutions of coupled Navier-Stokes equations and nonlinear Fokker Planck equations   Pages : 1185 - 1196

Peter Constantin and Gregory Seregin

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6

Dissipative quasi-geostrophic equations in critical Sobolev spaces: Smoothing effect and global well-posedness   Pages : 1197 - 1211

Hongjie Dong

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7

Boundary layers in smooth curvilinear domains: Parabolic problems   Pages : 1213 - 1240

Gung-Min Gie,  Makram Hamouda and Roger Témam

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8

Singular perturbation systems with stochastic forcing and the renormalization group method   Pages : 1241 - 1268

Nathan Glatt-Holtz and Mohammed Ziane

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9

On the initial-value problem to the Degasperis-Procesi equation with linear dispersion   Pages : 1269 - 1290

Fei Guo,  Bao-Feng Feng,  Hongjun Gao and Yue Liu

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10

Energetic variational approach in complex fluids: Maximum dissipation principle   Pages : 1291 - 1304

Yunkyong Hyon,  Do Young Kwak and Chun Liu

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11

Maximum norm error estimates for Div least-squares method for Darcy flows   Pages : 1305 - 1318

JaEun Ku

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12

On regularity for the Navier-Stokes equations in Morrey spaces   Pages : 1319 - 1328

Igor Kukavica

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13

Pullback exponential attractors   Pages : 1329 - 1357

José A. Langa,  Alain Miranville and José Real

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14

Flow driven dynamics of sheared flowing polymer-particulate nanocomposites   Pages : 1359 - 1382

Jun Li and Qi Wang

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15

Chaos phenotypes discovered in fluids   Pages : 1383 - 1398

Y. Charles Li

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16

Tropical atmospheric circulations: Dynamic stability and transitions   Pages : 1399 - 1417

Tian Ma and Shouhong Wang

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17

Modeling and simulation of switchings in ferroelectric liquid crystals   Pages : 1419 - 1440

Jinhae Park,  Feng Chen and Jie Shen

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18

Asymptotic behaviour of the Darcy-Boussinesq system at large Darcy-Prandtl number   Pages : 1441 - 1469

Rana D. Parshad

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19

On the Lipschitzness of the solution map for the 2 D Navier-Stokes system   Pages : 1471 - 1490

Atanas Stefanov

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20

Existence and uniqueness of strong periodic solutions of the primitive equations of the ocean   Pages : 1491 - 1508

T. Tachim Medjo

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21

Forced oscillations of the Korteweg-de Vries equation on a bounded domain and their stability   Pages : 1509 - 1523

Muhammad Usman and Bing-Yu Zhang

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22

A dual-Petrov-Galerkin method for two integrable fifth-order KdV type equations   Pages : 1525 - 1536

Juan-Ming Yuan and Jiahong Wu

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