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

基金：

美国国家科学基金会;

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

页码：361 / 371

页数：11