Weak solutions for the exterior Stokes problem in weighted Sobolev spaces

被引：0

作者：

Alliot, F ^{[1
]}

Amrouche, C ^{[1
]}

机构：

[1] ENPC, CERMICS, F-77455 Marne la Vallee 2, France

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2000年 / 23卷 / 06期

关键词：

D O I：

10.1002/(SICI)1099-1476(200004)23:6<575::AID-MMA128>3.0.CO;2-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We extend here some existence and uniqueness results for the exterior Stokes problem in weighted Sobolev spaces. We also study the regularity of the solutions (u, pi) and prove optimal a priori estimates for the solutions with del(2)u, del pi epsilon L-p. The influence of some compatibility conditions on the behaviour at infinity of the solution is finally studied and leads to new asymptotic expansions. Copyright (C) 2000 John Wiley &, Sons, Ltd.

引用

页码：575 / 600

页数：26

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