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.
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收藏
页码：575 / 600
页数：26
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