Very weak solutions for the stationary Oseen and Navier-Stokes equations

被引：8

作者：

Amrouche, Cherif ^{[1
]}

Angeles Rodriguez-Bellido, Maria ^{[2
]}

机构：

[1] Univ Pau & Pays Adour, CNRS, UMR 5142, Lab Math Appl,IPRA, F-64000 Pau, France

[2] Univ Seville, Dpto Ecuac Diferenciales & Anal Numer, E-41080 Seville, Spain

来源：

COMPTES RENDUS MATHEMATIQUE | 2010年 / 348卷 / 5-6期

关键词：

BOUNDARY DATA;

D O I：

10.1016/j.crma.2009.12.021

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider the stationary Oseen and Navier-Stokes equations in a bounded connected domain of class C(1,1) of R(3). Here we give a new and simpler proof of the existence of very weak solutions (u, q) is an element of L(p) (Omega) X W(-1,p) (Omega) corresponding to boundary data in W(-1/p,p) (Gamma). These solutions are obtained without imposing smallness assumptions on the exterior forces. We also obtain regularity results in fractional Sobolev spaces. (C) 2010 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.

引用

页码：335 / 339

页数：5

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