ON THE OSEEN PROBLEM IN THREE-DIMENSIONAL EXTERIOR DOMAINS

被引：12

作者：

Amrouche, Cherif ^{[1
]}

Razafison, Ulrich ^{[1
]}

机构：

[1] Univ Pau & Pays Adour, CNRS, IPRA, Lab Math Appl,UMR 5142, F-64013 Pau, France

来源：

ANALYSIS AND APPLICATIONS | 2006年 / 4卷 / 02期

关键词：

Oseen equations; weighted spaces; exterior domains; fluid mechanics;

D O I：

10.1142/S0219530506000735

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we prove existence and uniqueness results for the Oseen problem in exterior domains of R-3. To prescribe the growth or decay of functions at infinity, we set the problem in weighted Sobolev spaces. The analysis relies on a L-p-theory for any real p such that 1 < p < infinity.

引用

页码：133 / 162

页数：30

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