Attractors for nonautonomous 2D Navier-Stokes equations with less regular symbols

被引：12

作者：

Ma, Shan ^{[1
]}

Zhong, Chengkui ^{[1
]}

Song, Haitao ^{[1
]}

机构：

[1] Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Gansu, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2009年 / 71卷 / 09期

基金：

美国国家科学基金会;

关键词：

Uniform attractor; Translation compact; Uniform Condition (C); Normal Condition (C*); Navier-Stokes equations; DIFFERENTIAL EQUATIONS; TOPOLOGICAL DYNAMICS; EXTERNAL FORCES; EXISTENCE; SYSTEMS;

D O I：

10.1016/j.na.2009.02.107

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We introduce a new class of functions satisfying normal Condition (C*), denoted by L(nc*)(2) (R; X), which are translation bounded but not translation compact - in particular, which are more general than normal functions (see [S.S. Lu, H.Q Wu, C.K. Zhong, Attractors for nonautonomous 2D Navier-Stokes equations with normal external forces, Discrete Contin. Dyn. Syst., 13 (2005) 701-719] for the definition), denoted by L(n)(2)(R; X). n Furthermore,we prove the existence of uniform attractors for 2D Navier-Stokes equations with external forces belonging to L(nc*)(2) (R; L(2)(Omega)) in H(0)(1). (c) 2009 Elsevier Ltd. All rights reserved.

引用

页码：4215 / 4222

页数：8

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