Multiscale analysis of diffusion processes in composite media

被引：21
|
作者：
Timofte, Claudia [1 ]
机构：
[1] Univ Bucharest, Fac Phys, Bucharest, Romania
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2013年 / 66卷 / 09期
关键词：
Homogenization; The periodic unfolding method; Dynamical boundary condition; BIDOMAIN MODEL; HOMOGENIZATION; BEHAVIOR; HEART;
D O I：
10.1016/j.camwa.2012.12.003
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The goal of this paper is to present some homogenization results for a nonlinear problem arising in the modeling of diffusion in a periodic structure formed by two media with different properties, separated by an active interface. Our setting is relevant for modeling heat diffusion in composite materials with imperfect interfaces or electrical conduction in biological tissues. The approach we follow is based on the periodic unfolding method, which allows us to deal with general media. (C) 2012 Elsevier Ltd. All rights reserved.
引用
收藏
页码：1573 / 1580
页数：8
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