The regularity of the Stokes operator and the Fujita-Kato approach to the Navier-Stokes initial value problem in Lipschitz domains

被引:34
|
作者
Mitrea, Marius [1 ]
Monniaux, Sylvie [2 ]
机构
[1] Univ Missouri, Dept Math, Columbia, MO 65211 USA
[2] Univ Aix Marseille 3, LATP, UMR 6632, Fac Sci St Jerome Case Cour A, F-13397 Marseille 20, France
基金
美国国家科学基金会;
关键词
Navier-Stokes system; lipschitz domain; stokes operator; sobolev spaces;
D O I
10.1016/j.jfa.2007.11.021
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We study the regularity of the Navier-Stokes equations in arbitrary Lipschitz domains. (c) 2007 Elsevier Inc. All rights reserved.
引用
收藏
页码:1522 / 1574
页数:53
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