The periodic unfolding for a Fredholm alternative in perforated domains

被引：0

作者：

Cioranescu, D. ^{[1
]}

Griso, G. ^{[1
]}

Damlamian, A. ^{[2
]}

机构：

[1] Univ Paris 06, Lab JL Lions CNRS, F-75005 Paris, France

[2] Univ Paris Est, Lab Anal & Math Appl, CNRS UMR 8050, Ctr Multidisciplinaire Creteil, F-94010 Creteil, France

来源：

IMA JOURNAL OF APPLIED MATHEMATICS | 2012年 / 77卷 / 06期

关键词：

fredholm alternative; homogenization; unfolding method; Poincare-Wirtinger inequality; HOMOGENIZATION;

D O I：

10.1093/imamat/hxs051

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the homogenization of a pure Neumann boundary value problem in perforated domains. Contrary to the usual case, several obstructions occur in this case. We present an approximation of the domains for which the problem is well-posed and homogenization can be proved. The main tool is the unfolding method together with geometrical results used to establish uniform bounds.

引用

页码：837 / 854

页数：18

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