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The periodic unfolding method for a class of parabolic problems with imperfect interfaces∗

Published online by Cambridge University Press:  28 July 2014

Zhanying Yang
Zhanying Yang*
Affiliation:
Department of Mathematics, South-Central University for Nationalities, Wuhan 430074, P.R. China

Abstract

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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 ε-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 εγ with γ ≤−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.

Keywords

Periodic unfolding methodheat equationinterface problemshomogenizationcorrectors

Information

Type
Research Article
Information
ESAIM: Mathematical Modelling and Numerical Analysis , Volume 48 , Issue 5 , September 2014, pp. 1279 - 1302
Copyright
© EDP Sciences, SMAI, 2014

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