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periodic unfolding method

ESAIM: Mathematical Modelling and Numerical Analysis (1)

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The periodic unfolding method for a class of parabolic problems with imperfect interfaces ∗
Zhanying Yang
Journal:

ESAIM: Mathematical Modelling and Numerical Analysis / Volume 48 / Issue 5 / September 2014

Published online by Cambridge University Press:

28 July 2014, pp. 1279-1302

Print publication:

September 2014
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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.