ON THE ASYMPTOTIC BEHAVIOUR OF SOME ELLIPTIC PROBLEMS IN PERFORATED DOMAINS

被引：0

作者：

Timofte, C. ^{[1
]}

Cotfas, N. ^{[1
]}

Pavel, G. ^{[1
]}

机构：

[1] Univ Bucharest, Fac Phys, Bucharest, Romania

来源：

ROMANIAN REPORTS IN PHYSICS | 2012年 / 64卷 / 01期

关键词：

homogenization; perforated domains; nonlinear boundary conditions; VARIATIONAL-INEQUALITIES; BOUNDARY-CONDITIONS; POROUS-MEDIA; HOMOGENIZATION;

D O I：

暂无

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The asymptotic behavior of the solution of a class of elliptic problems modeling diffusion in some periodic perforated media is analyzed. We consider, at the microscale, an elliptic equation with various nonlinear conditions prescribed on the boundary of the perforations and we prove that the effective behavior of the solution of such a problem is governed by another elliptic equation, which, depending on the type of the conditions imposed on the surface of the cavities, can contain extra zero-order terms.

引用

页码：5 / 14

页数：10

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