A proof of the inf-sup condition for the Stokes equations on Lipschitz domains

被引：38
|
作者：
Bramble, JH [1 ]
机构：
[1] Texas A&M Univ, Dept Math, College Stn, TX 77843 USA
来源：
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES | 2003年 / 13卷 / 03期
关键词：
inf-sup condition; stokes equations;
D O I：
10.1142/S0218202503002544
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The purpose of this paper is to present a rather simple proof of an inequality of Necas(9) which is equivalent to the inf-sup condition. This inequality is fundamental in the study of the Stokes equations. The boundary of the domain is only assumed to be Lipschitz.
引用
收藏
页码：361 / 371
页数：11
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