On H2-Estimates of Solutions to the Stokes System with an Artificial Boundary Condition

被引：4

作者：

Deuring, Paul ^{[1
]}

机构：

[1] Univ Littoral, Ctr Univ Mi Voix, Lab Math Pures & Appl, BP 699, F-62228 Calais, France

来源：

JOURNAL OF MATHEMATICAL FLUID MECHANICS | 2002年 / 4卷 / 03期

关键词：

Stokes system; exterior domains; artificial boundary conditions; H-2-regularity;

D O I：

10.1007/s00021-002-8543-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the Stokes system in a truncated exterior domain, with a local artificial boundary condition on the truncating sphere. The second derivatives of the velocity and the first derivatives of the pressure are estimated in the L-2-norm, and it is shown how the constants in these estimates depend on the radius of the truncating sphere.

引用

页码：203 / 236

页数：34

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