Large time behavior to the system of incompressible non-Newtonian fluids in R2

被引：46

作者：

Dong, BQ ^{[1
]}

Li, YS

机构：

[1] Nankai Univ, Sch Math, Tianjin 300071, Peoples R China

[2] S China Univ Technol, Dept Appl Math, Guangzhou 510640, Guangdong, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2004年 / 298卷 / 02期

基金：

中国国家自然科学基金;

关键词：

decay rate; weak solutions; non-Newtonian fluids;

D O I：

10.1016/j.jmaa.2004.05.032

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the authors study the large time behavior for the weak solutions to a class system of the incompressible non-Newtonian fluids in R-2. It is proved that the weak solutions decay in L-2 norm at (1 + t)(-1/2) and the estimate for the decay rate is sharp in the sense that it coincides with the decay rate of a solution to the heat equation. (C) 2004 Elsevier Inc. All rights reserved.

引用

页码：667 / 676

页数：10

共 12 条

[1]

[Anonymous], 1977, NAVIERSTOKES EQUATIO

[2]

BAE H, 2000, Q APPL MATH, V58, P101

[3] Existence, regularity, and decay rate of solutions of non-Newtonian flow [J].