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

被引：55

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

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