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Corrector estimates for a thermo-diffusion model with weak thermal coupling
Karlstad University, Faculty of Health, Science and Technology (starting 2013), Department of Mathematics and Computer Science (from 2013).ORCID iD: 0000-0002-1160-0007
Weierstraß-Institut für Angewandte Analysis und Stochastik (WIAS), Germany.
2018 (English)In: Multiscale Modeling & simulation, ISSN 1540-3459, E-ISSN 1540-3467, Vol. 16, no 2, p. 807-832Article in journal (Refereed) Published
##### Abstract [en]

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 $\varepsilon$ 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 $\varepsilon$-independent estimates for the thermal and concentration fields and for their coupled fluxes.

##### Place, publisher, year, edition, pages
Society for Industrial and Applied Mathematics, 2018. Vol. 16, no 2, p. 807-832
Mathematics
Mathematics
##### Identifiers
ISI: 000436998500009OAI: oai:DiVA.org:kau-65815DiVA, id: diva2:1177405
Available from: 2018-01-25 Created: 2018-01-25 Last updated: 2018-09-05Bibliographically approved

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Cite
Citation style
• apa
• harvard1
• ieee
• modern-language-association-8th-edition
• vancouver
• Other style
More styles
Language
• de-DE
• en-GB
• en-US
• fi-FI
• nn-NO
• nn-NB
• sv-SE
• Other locale
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Output format
• html
• text
• asciidoc
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