Correctors for some asymptotic problems

被引：0
|
作者：
Michel Chipot
Senoussi Guesmia
机构：
[1] University of Zürich,Institute of Mathematics
来源：
Proceedings of the Steklov Institute of Mathematics | 2010年 / 270卷
关键词：
Open Subset; STEKLOV Institute; Dirichlet Boundary; Exponential Rate; Stokes Problem;
D O I：
暂无
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学科分类号：
摘要：
In the theory of anisotropic singular perturbation boundary value problems, the solution uɛ does not converge, in the H1-norm on the whole domain, towards some u0. In this paper we construct correctors to have good approximations of uɛ in the H1-norm on the whole domain. Since the anisotropic singular perturbation problems can be connected to the study of the asymptotic behaviour of problems defined in cylindrical domains becoming unbounded in some directions, we transpose our results for such problems.
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页码：263 / 277
页数：14
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