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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.
@article{M2AN_2014__48_5_1279_0,
author = {Yang, Zhanying},
title = {The periodic unfolding method for a class of parabolic problems with imperfect interfaces},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis },
pages = {1279--1302},
publisher = {EDP-Sciences},
volume = {48},
number = {5},
year = {2014},
doi = {10.1051/m2an/2013139},
mrnumber = {3264354},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.1051/m2an/2013139/}
}
TY - JOUR AU - Yang, Zhanying TI - The periodic unfolding method for a class of parabolic problems with imperfect interfaces JO - ESAIM: Mathematical Modelling and Numerical Analysis PY - 2014 SP - 1279 EP - 1302 VL - 48 IS - 5 PB - EDP-Sciences UR - http://geodesic.mathdoc.fr/articles/10.1051/m2an/2013139/ DO - 10.1051/m2an/2013139 LA - en ID - M2AN_2014__48_5_1279_0 ER -
%0 Journal Article %A Yang, Zhanying %T The periodic unfolding method for a class of parabolic problems with imperfect interfaces %J ESAIM: Mathematical Modelling and Numerical Analysis %D 2014 %P 1279-1302 %V 48 %N 5 %I EDP-Sciences %U http://geodesic.mathdoc.fr/articles/10.1051/m2an/2013139/ %R 10.1051/m2an/2013139 %G en %F M2AN_2014__48_5_1279_0
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
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