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

Zhanying Yang — 2014

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

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 -periodic connected inclusions. The condition imposed on the interface is that the jump of the solution is proportional to the conormal derivative a function of order with ≤ −1. We give the homogenization results which include those obtained by Jose in [54 (2009) 189–222]. We also get the corrector results.

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