Attractors for 2D-Navier-Stokes equations with delays on some unbounded domains

被引：61

作者：

Marin-Rubio, Pedro ^{[1
]}

Real, Jose ^{[1
]}

机构：

[1] Univ Seville, Dpto Ecuaciones Differenciales & Anal Numerico, E-41080 Seville, Spain

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2007年 / 67卷 / 10期

关键词：

Navier-Stokes equations; delays terms; unbounded domains; asymptotic compactness; attractors;

D O I：

10.1016/j.na.2006.09.035

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove the existence of tempered and nontempered pullback attractors for two dimensional Navier-Stokes equations on unbounded domains satisfying Poincar6 inequality, for the case in which a forcing term involving memory effects appears. Our proof uses an energy method and is valid for the autonomous and nonautonomous cases. (C) 2006 Elsevier Ltd. All rights reserved.

引用

页码：2784 / 2799

页数：16

共 17 条

[1] Pullback attractors for asymptotically compact non-autonomous dynamical systems [J].

Caraballo, T ;

Lukaszewicz, G ;

Real, J .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2006, 64 (03) :484-498

[2] Attractors for 2D-Navier-Stokes models with delays [J].

Caraballo, T ;

Real, J .

JOURNAL OF DIFFERENTIAL EQUATIONS, 2004, 205 (02) :271-297

[3] Asymptotic behaviour of two-dimensional Navier-Stokes equations with delays [J].

Caraballo, T ;

Real, J .

PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2003, 459 (2040) :3181-3194

[4] Navier-Stokes equations with delays [J].

Caraballo, T ;

Real, J .

PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2001, 457 (2014) :2441-2453

[5]

Chepyzhov V. V., 2002, AM MATH SOC C PUBL, V49

[6]

Constantin P., 1988, Chicago Lectures in Mathematics, DOI DOI 10.7208/CHICAGO/9780226764320.001.0001

[7] Random attractors [J].

Crauel H. ;

Debussche A. ;

Flandoli F. .

Journal of Dynamics and Differential Equations, 1997, 9 (2) :307-341

[8] Navier-Stokes equations with delays on unbounded domains [J].

Garrido-Atienza, MJ ;

Marín-Rubio, P .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2006, 64 (05) :1100-1118

[9]

Hale J. K., 1988, ASYMPTOTIC BEHAV DIS

[10]

LADYZHENSKAYA O, 1992, CR ACAD SCI I-MATH, V314, P253

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