Pullback attractor for non-homogeneous micropolar fluid flows in non-smooth domains

被引：9

作者：

Chen, Guang-Xia ^{[1
]}

机构：

[1] Henan Polytech Univ, Sch Math & Informat Sci, Jiaozuo 454003, Peoples R China

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2009年 / 10卷 / 05期

关键词：

Pullback attractor; Micropolar fluid; Non-homogeneous boundary; Lipschitz domains; REACTION-DIFFUSION EQUATIONS; NAVIER-STOKES EQUATIONS; UNBOUNDED-DOMAINS; DYNAMICAL-SYSTEMS; GLOBAL ATTRACTORS; DIMENSION; EXISTENCE;

D O I：

10.1016/j.nonrwa.2008.10.005

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, which concerns two-dimensional non-autonomous micropolar fluid flows in a Lipschitz bounded domain with non-homogeneous boundary conditions, the existence of a pullback attractor in H is shown under the following assumptions: the external forces f (t) is an element of L-loc(2)(R, nu') satisfying integral(t)(-infinity) e(sigma s)vertical bar f (S)vertical bar(2)(nu') < infinity for some sigma > 0 characterized later; and the non-homogeneous boundary condition phi(x) is an element of L-infinity(partial derivative Omega). (C) 2008 Elsevier Ltd. All rights reserved.

引用

页码：3018 / 3027

页数：10

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