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Homogenization of a thermo-diffusion system with smoluchowski interactions
Eindhoven University of Technology, Netherlands.
Japan Womens Univ., Tokyo, Japan.
Eindhoven University of Technology , Netherlands. (Mathematics)ORCID iD: 0000-0002-1160-0007
2014 (English)In: Networks and Heterogeneous Media, ISSN 1556-1801, E-ISSN 1556-181X, Vol. 9, no 4, 739-762 p.Article in journal (Refereed) PublishedText
Abstract [en]

We study the solvability and homogenization of a thermal-diffusion reaction problem posed in a periodically perforated domain. The system describes the motion of populations of hot colloidal particles interacting together via Smoluchowski production terms. The upscaled system, obtained via two-scale convergence techniques, allows the investigation of deposition effects in porous materials in the presence of thermal gradients.

Place, publisher, year, edition, pages
Springfield: American Institute of Mathematical Sciences, 2014. Vol. 9, no 4, 739-762 p.
Keyword [en]
Homogenization; well-posedness; colloids; thermal-diffusion; cross-diffusion; combustion
National Category
Mathematical Analysis
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:kau:diva-39781DOI: 10.3934/nhm.2014.9.739ISI: 000346795500010ScopusID: 2-s2.0-84915774558OAI: oai:DiVA.org:kau-39781DiVA: diva2:901172
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cited By 3

Available from: 2016-02-06 Created: 2016-02-06 Last updated: 2016-10-04

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