On H1-pullback attractors for nonautonomous micropolar fluid equations in a bounded domain

被引：19

作者：

Lukaszewicz, Grzegorz ^{[1
]}

Tarasinska, Agnieszka ^{[1
]}

机构：

[1] Univ Warsaw, Dept Math, PL-02957 Warsaw, Poland

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2009年 / 71卷 / 3-4期

关键词：

Nonautonomous micropolar fluid equations; Global in time solution; Existence of pullback attractor; PULLBACK ATTRACTORS; GLOBAL ATTRACTORS; EXISTENCE; FLOW;

D O I：

10.1016/j.na.2008.10.124

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Using a method based on the concept of the Kuratowski measure of noncompactness of a bounded set as well as some new estimates of solutions we prove the existence of a unique minimal pullback attractor for the evolutionary process associated with nonautonomous two-dimensional micropolar fluid equations in a bounded domain, where the forces and moments satisfy only a certain integrability condition. In earlier similar research forces and moments were assumed to be uniformly bounded in time. (C) 2008 Elsevier Ltd. All rights reserved.

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收藏

页码：782 / 788

页数：7

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