PULLBACK EXPONENTIAL ATTRACTORS FOR THE NON-AUTONOMOUS MICROPOLAR FLUID FLOWS

被引：2

作者：

Sun, Wenlong ^{[1
]}

Li, Yeping ^{[1
]}

机构：

[1] East China Univ Sci & Technol, Dept Math, Shanghai 200237, Peoples R China

来源：

ACTA MATHEMATICA SCIENTIA | 2018年 / 38卷 / 04期

关键词：

micropolar fluid flow; pullback exponential attractor; global pullback attractor; fractal dimension; enstrophy equality; GLOBAL WELL-POSEDNESS; LONG-TIME BEHAVIOR; EQUATIONS; EXISTENCE; DECAY;

D O I：

10.1016/S0252-9602(18)30820-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper investigates the pullback asymptotic behaviors for the non-autonomous micropolar fluid flows in 2D bounded domains. We use the energy method, combining with some important properties of the generated processes, to prove the existence of pullback exponential attractors and global pullback attractors and show that they both with finite fractal dimension. Further, we give the relationship between global pullback attractors and pullback exponential attractors.

引用

页码：1370 / 1392

页数：23

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