On non-periodic homogenization of time-dependent equations

被引：1
|
作者：
Schweizer, Ben [1 ]
Veneroni, Marco [2 ]
机构：
[1] Tech Univ Dortmund, Fak Math, D-44227 Dortmund, Germany
[2] Univ Pavia, Dept Math F Casorati, I-27100 Pavia, Italy
来源：
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2014年 / 15卷
关键词：
Non-periodic homogenization; Heat equation; Hysteresis;
D O I：
10.1016/j.nonrwa.2012.03.017
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The recently introduced needle problem approach for the homogenization of non-periodic problems was originally designed for the homogenization of elliptic problems. After a short review of the needle problem approach we demonstrate in this note how the stationary results can be transferred to time-dependent problems. The standard parabolic problem of the corresponding heat equation in a heterogeneous material is considered. Furthermore, we include an application to a hysteresis problem which appears in the theory of porous media. (C) 2012 Elsevier Ltd. All rights reserved.
引用
收藏
页码：381 / 391
页数：11
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