Pullback Attractor for the 2D Micropolar Fluid Flows with Delay on Unbounded Domains

被引：2
|
作者：
Sun, Wenlong [1 ]
Liu, Guowei [2 ]
机构：
[1] East China Univ Sci & Technol, Dept Math, Shanghai 200237, Peoples R China
[2] Shanghai Jiao Tong Univ, Sch Math Sci, Shanghai 200240, Peoples R China
来源：
BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY | 2019年 / 42卷 / 05期
关键词：
Micropolar fluid flow; Unbounded domains; Pullback attractor; Tempered property; GLOBAL WELL-POSEDNESS; 2D-NAVIER-STOKES EQUATIONS; DIFFERENTIAL-EQUATIONS; STABILITY; EXISTENCE;
D O I：
10.1007/s40840-018-0634-9
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we investigate the pullback asymptotic behavior of micropolar fluid flows with delay on 2D unbounded domains. Firstly, the existence of pullback attractor for the universe given by a tempered condition is established. Then we obtain the consistency of the pullback attractor with that for the universe of fixed bounded sets. Furthermore, the tempered behavior of the pullback attractor is given. Here we develop the energy method with the technique of decomposition of spatial domain to overcome the lack of compactness due to unbounded domains.
引用
收藏
页码：2807 / 2833
页数：27
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