Solution of a Nonlinear Thermal Problem in Connected Domains

被引：0

作者：

Taghite, M. B. ^{[1
]}

Kouitat, R. ^{[1
]}

Bendib, S. ^{[2
]}

Dubois, G. ^{[1
]}

Bonzi, B. K. ^{[3
]}

机构：

[1] Univ Lorraine, CNRS, Inst Jean Lamour, UMR 7198, F-54042 Nancy, France

[2] Univ Lorraine, Lab Math & Applicat Metz, F-57045 Metz, France

[3] Univ Ouagadougou, Lab Math & Informat, UFR SEA, Ouagadougou, Burkina Faso

来源：

JOURNAL OF MULTISCALE MODELLING | 2015年 / 6卷 / 04期

关键词：

Homogenization; nonlinear problem; Fourier condition; connected domains;

D O I：

10.1142/S1756973715500109

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, the limit behavior of nonlinear problems with nonhomogeneous Fourier boundary conditions, in a connected domain is established. This domain consists of two separate parts jointed by a set of bridges. The parameter describing the heterogeneities of the material and the size of the bridges can be very small. The homogenization method is used to estimate the field of temperatures attainable in the medium, depending of the relative order of the size of the bridges. Three situations are studied according to the connectedness of the components of the domain.

引用

页数：26

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