Homogenization in perforated domains with mixed conditions

被引：12

作者：

Cardone, G

D'Apice, C

De Maio, U

机构：

[1] Univ Naples 2, Dipartimento Ingn Civile, I-81031 Aversa, CE, Italy

[2] Univ Salerno, Dipartmento Ingn Informaz & Matemat Appl, I-84084 Fisciano, SA, Italy

[3] Univ Naples Federico II, Dipartimento Matemat & Applicaz R Caccioppoli, I-80126 Naples, Italy

来源：

NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS | 2002年 / 9卷 / 03期

关键词：

homogenization; partial differential equations; perforated domains;

D O I：

10.1007/s00030-002-8131-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we study the asymptotic behaviour of the Laplace equation in a periodically perforated domain of R-n, where we assume that the period is epsilon and the size of the holes is of the same order of greatness. An homogeneous Dirichlet condition is given on the whole exterior boundary of the domain and on a flat portion of diameter epsilon(n/n-2) if n > 2 (exp(-epsilon(-2)), if n = 2) of the boundary of every hole, while we take an homogeneous Neumann condition elsewhere.

引用

页码：325 / 346

页数：22

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