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

Zhanying Yang

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique (2014)

  • Volume: 48, Issue: 5, page 1279-1302
  • ISSN: 0764-583X

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.

How to cite

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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 - Modélisation Mathématique et Analyse Numérique 48.5 (2014): 1279-1302. <http://eudml.org/doc/273291>.

@article{Yang2014,
abstract = {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.},
author = {Yang, Zhanying},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},
keywords = {periodic unfolding method; heat equation; interface problems; homogenization; correctors; heat transfer; imperfect interfaces; periodic unfolding; contrasted media; strong convergence results; corrector estimates},
language = {eng},
number = {5},
pages = {1279-1302},
publisher = {EDP-Sciences},
title = {The periodic unfolding method for a class of parabolic problems with imperfect interfaces},
url = {http://eudml.org/doc/273291},
volume = {48},
year = {2014},
}

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 - Modélisation Mathématique et Analyse Numérique
PY - 2014
PB - EDP-Sciences
VL - 48
IS - 5
SP - 1279
EP - 1302
AB - 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.
LA - eng
KW - periodic unfolding method; heat equation; interface problems; homogenization; correctors; heat transfer; imperfect interfaces; periodic unfolding; contrasted media; strong convergence results; corrector estimates
UR - http://eudml.org/doc/273291
ER -

References

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