THE BOUNDEDNESS AND UPPER SEMICONTINUITY OF THE PULLBACK ATTRACTORS FOR A 2D MICROPOLAR FLUID FLOWS WITH DELAY

被引：10

作者：

Sun, Wenlong ^{[1
]}

机构：

[1] Yangtze Univ, Sch Informat & Math, Jingzhou 434023, Peoples R China

来源：

ELECTRONIC RESEARCH ARCHIVE | 2020年 / 28卷 / 03期

关键词：

Micropolar fluid flow; delay; pullback attractor; boundedness; upper semicontinuity; EQUATIONS;

D O I：

10.3934/era.2020071

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, two properties of the pullback attractor for a 2D non-autonomous micropolar fluid flows with delay on unbounded domains are investigated. First, we establish the H-1--boundedness of the pullback attractor. Further, with an additional regularity limit on the force and moment with respect to time t, we remark the H-2 -boundedness of the pullback attractor. Then, we verify the upper semicontinuity of the pullback attractor with respect to the domains.

引用

页码：1343 / 1356

页数：14

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