SPATIAL DECAY OF TIME-DEPENDENT OSEEN FLOWS

被引：14
|
作者：
Deuring, Paul [1 ,2 ]
机构：
[1] Univ Lille Nord France, F-59000 Lille, France
[2] ULCO, LMPA, F-62228 Calais, France
来源：
SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 2009年 / 41卷 / 03期
关键词：
exterior domain; time-dependent Oseen system; decay; wake; potential theory; single layer potential; NAVIER-STOKES EQUATIONS; WEIGHTED SOBOLEV SPACES; EXTERIOR DOMAINS; ASYMPTOTIC-BEHAVIOR; NONZERO VELOCITY; 3D; REGULARITY; STABILITY; INFINITY; OPERATOR;
D O I：
10.1137/080723831
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider an initial-boundary value problem for the time-dependent Oseen system in a three-dimensional exterior domain. We show that weak solutions of this problem may be represented by a sum of volume and single layer potentials. This representation is then used in order to study spatial decay of weak solutions.
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页码：886 / 922
页数：37
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