On the Stokes and Oseen Problems with Singular Data

被引：5

作者：

Tartaglione, Alfonsina ^{[1
]}

机构：

[1] Univ Naples 2, Dept Math & Phys, I-81100 Caserta, Italy

来源：

JOURNAL OF MATHEMATICAL FLUID MECHANICS | 2014年 / 16卷 / 02期

关键词：

Steady-state Stokes; Oseen and Navier-Stokes equations; boundary-value problems; very weak solutions; bounded and exterior domains; NAVIER; UNIQUENESS; EQUATIONS; EXISTENCE;

D O I：

10.1007/s00021-013-0161-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the steady Stokes and Oseen problems in bounded and exterior domains of R-n of class C (k-1,1) (n = 2, 3; k >= 2). We prove existence and uniqueness of a very weak solution for boundary data a in W-2-k-1/q,W-q(partial derivative Omega). If Omega is of class C-infinity, we can assume a to be a distribution on partial derivative Omega.

引用

页码：407 / 417

页数：11

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