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

页码：1279 / 1302

页数：24

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