THE PERIODIC UNFOLDING METHOD FOR A CLASS OF PARABOLIC PROBLEMS WITH IMPERFECT INTERFACES

被引：12
|
作者：
Yang, Zhanying [1 ]
机构：
[1] South Cent Univ Nationalities, Dept Math, Wuhan 430074, Peoples R China
来源：
ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE | 2014年 / 48卷 / 05期
关键词：
Periodic unfolding method; heat equation; interface problems; homogenization; correctors; HOMOGENIZATION; CORRECTORS; EQUATIONS; WAVE;
D O I：
10.1051/m2an/2013139
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we use the adapted periodic unfolding method to study the homogenization and corrector problems for the parabolic problem in a two-component composite with epsilon-periodic connected inclusions. The condition imposed on the interface is that the jump of the solution is proportional to the conormal derivative via a function of order epsilon(gamma) with gamma <= -1. We give the homogenization results which include those obtained by Jose in [Rev. Roum. Math. Pures Appl. 54 (2009) 189-222]. We also get the corrector results.
引用
收藏
页码：1279 / 1302
页数：24
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