| Autor: |
MUNTEAN, ADRIAN, REICHELT, SINA |
| Předmět: |
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| Zdroj: |
Multiscale Modeling & Simulation; 2018, Vol. 16 Issue 2, p807-832, 26p |
| Abstrakt: |
The present work deals with the derivation of corrector estimates for the two-scale homogenization of a thermodiffusion model with weak thermal coupling posed in a heterogeneous medium endowed with periodically arranged high-contrast microstructures. The term \weak thermal coupling" refers here to the variable scaling in terms of the small homogenization parameter ϵ of the heat conduction-diffusion interaction terms, while the "high-contrast" is considered particularly in terms of the heat conduction properties of the composite material. As a main target, we justify the first-order terms of the multiscale asymptotic expansions in the presence of coupled fluxes, induced by the joint contribution of Sorret and Dufour-like effects. The contrasting heat conduction combined with cross coupling leads to the main mathematical difficulty in the system. Our approach relies on the method of periodic unfolding combined with ϵ-independent estimates for the thermal and concentration fields and for their coupled fluxes. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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