Exterior Stokes problem in the half-space

被引：0

作者：

Amrouche C. ^{[1
]}

Bonzom F. ^{[1
]}

机构：

[1] Laboratoire de Mathématiques et de Leurs Applications, UMR CNRS 5142, IPRA, 64000 Pau cedex, Avenue de l'Université

来源：

ANNALI DELL'UNIVERSITA' DI FERRARA | 2009年 / 55卷 / 1期

关键词：

Dirichlet boundary conditions; Exterior problem; Half-space; Stokes operator; Weighted Sobolev spaces;

D O I：

10.1007/s11565-009-0064-6

中图分类号：

学科分类号：

摘要：

The purpose of this work is to solve the exterior Stokes problem in the half-space ℝn+. We study the existence and the uniqueness of generalized solutions in weighted L p theory with 1 < p < ∞. Moreover, we consider the case of strong solutions and very weak solutions. This paper extends the studies done in Alliot, Amrouche (Math. Methods Appl. 23:575-600, 2000) for an exterior Stokes problem in the whole space and in Amrouche, Bonzom (Exterior Problems in the Half-space, submitted) for the Laplace equation in the same geometry as here. © 2009 Università degli Studi di Ferrara.

引用

页码：37 / 66

页数：29

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