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

Volume 3,Number 2,     June 2010


A special issue
Dedicated to Professor Vsevolod Aleksevich Solonnikov on the Occasion of his 75th Birthday

1

Preface   Pages : i - ii

Šárka Nečasová,  Reimund Rautmann and Werner Varnhorn

 Abstract       Full Text      Related Articles

2

Nonstationary Stokes system with variable viscosity in bounded and unbounded domains   Pages : 141 - 157

Helmut Abels

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3

On the very weak solution for the Oseen and Navier-Stokes equations   Pages : 159 - 183

Chérif Amrouche and María Ángeles Rodríguez-Bellido

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4

Loss of smoothness and energy conserving rough weak solutions for the $3d$ Euler equations   Pages : 185 - 197

Claude Bardos and E. S. Titi

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5

An elementary approach to the 3D Navier-Stokes equations with Navier boundary conditions: Existence and uniqueness of various classes of solutions in the flat boundary case.   Pages : 199 - 219

Luigi C. Berselli

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6

The Dirichlet to Neumann map - An application to the Stokes problem in half space   Pages : 221 - 230

Ihsane Bikri,  Ronald B. Guenther and Enrique A. Thomann

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7

A challenging open problem: The inviscid limit under slip-type boundary conditions.   Pages : 231 - 236

Hugo Beirão da Veiga

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8

A representation formula for linearized stationary incompressible viscous flows around rotating and translating bodies   Pages : 237 - 253

Paul Deuring,  Stanislav Kračmar and Šárka Nečasová

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9

An existence result for non-Newtonian fluids in non-regular domains   Pages : 255 - 268

Lars Diening and Michael Růžička

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10

Local existence theorems with unbounded set of input data and unboundedness of stable invariant manifolds for 3D Navier-Stokes equations   Pages : 269 - 289

Andrei Fursikov

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11

Remarks on the $L^p$-approach to the Stokes equation on unbounded domains   Pages : 291 - 297

Matthias Geissert,  Horst Heck,  Matthias Hieber and Okihiro Sawada

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12

$L^\infty$-estimates for parabolic systems with VMO-coefficients   Pages : 299 - 309

Horst Heck,  Matthias Hieber and Kyriakos Stavrakidis

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13

On the local strong solutions for the FENE dumbbell model   Pages : 311 - 324

Ondřej Kreml and Milan Pokorný

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14

The time-periodic solutions of the Navier-Stokes equations with mixed boundary conditions   Pages : 325 - 337

Petr Kučera

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15

On a comprehensive class of linear material laws in classical mathematical physics   Pages : 339 - 349

Rainer Picard

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16

An alpha model for compressible fluids   Pages : 351 - 359

Paolo Secchi

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17

On the asymptotic decay of higher-order norms of the solutions to the Navier-Stokes equations in R3   Pages : 361 - 370

Zdeněk Skalák

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