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.
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页码：407 / 417
页数：11
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