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.
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页码：203 / 236
页数：34
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