Change search
CiteExportLink to record
Permanent link

Direct link
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
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf
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
National Category
Mathematics
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:kau:diva-65815DOI: 10.1137/16M109538XISI: 000436998500009OAI: oai:DiVA.org:kau-65815DiVA, id: diva2:1177405
Available from: 2018-01-25 Created: 2018-01-25 Last updated: 2018-09-05Bibliographically approved

Open Access in DiVA

fulltext(8076 kB)5 downloads
File information
File name FULLTEXT01.pdfFile size 8076 kBChecksum SHA-512
865706ca473115b83bf2086ede6f2b77ff587f7073c7fe33e9aa12e503abd1b6d78eb691f8fd824075bf1ceb6e2af3a569ba7ac346b450173267e7004d1bd11d
Type fulltextMimetype application/pdf

Other links

Publisher's full text

Authority records BETA

Muntean, Adrian

Search in DiVA

By author/editor
Muntean, Adrian
By organisation
Department of Mathematics and Computer Science (from 2013)
In the same journal
Multiscale Modeling & simulation
Mathematics

Search outside of DiVA

GoogleGoogle Scholar
Total: 5 downloads
The number of downloads is the sum of all downloads of full texts. It may include eg previous versions that are now no longer available

doi
urn-nbn

Altmetric score

doi
urn-nbn
Total: 49 hits
CiteExportLink to record
Permanent link

Direct link
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
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf