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.

引用

页码：886 / 922

页数：37

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