Geodesic
The periodic unfolding method for a class of parabolic problems with imperfect interfaces
ESAIM: Mathematical Modelling and Numerical Analysis , Tome 48 (2014) no. 5, pp. 1279-1302.

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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.

DOI : 10.1051/m2an/2013139
Classification : 35B27, 35K20, 82B24
Keywords: periodic unfolding method, heat equation, interface problems, homogenization, correctors 
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Yang, Zhanying. The periodic unfolding method for a class of parabolic problems with imperfect interfaces. ESAIM: Mathematical Modelling and Numerical Analysis , Tome 48 (2014) no. 5, pp. 1279-1302. doi : 10.1051/m2an/2013139. http://geodesic.mathdoc.fr/articles/10.1051/m2an/2013139/

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