Smooth Pullback Attractors for a Non-autonomous 2D Non-Newtonian Fluid and Their Tempered Behaviors

被引：25

作者：

Zhao, Caidi ^{[1
]}

Liu, Guowei ^{[1
]}

Wang, Weiming ^{[1
]}

机构：

[1] Wenzhou Univ, Dept Math & Informat Sci, Wenzhou 325035, Zhejiang, Peoples R China

来源：

JOURNAL OF MATHEMATICAL FLUID MECHANICS | 2014年 / 16卷 / 02期

关键词：

Non-Newtonian fluid; smooth pullback attractor; tempered behavior; DIFFERENTIAL-EQUATIONS; SYSTEM; REGULARITY; EXISTENCE;

D O I：

10.1007/s00021-013-0153-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper studies the pullback asymptotic behaviors of solutions for a non-autonomous incompressible non-Newtonian fluid in two-dimensional bounded domains. The authors first prove the existence of smooth pullback attractors for the associated process, and then reveal their tempered behaviors in H (2) and H (4) norms as the initial time tends to -infinity.

引用

页码：243 / 262

页数：20

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