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

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

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topYang, 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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