A thermo-diffusion system with Smoluchowski interactions : well-posedness and homogenization

O. Krehel, T. Aiki, A. Muntean

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Abstract

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.
Original languageEnglish
Place of PublicationEindhoven
PublisherTechnische Universiteit Eindhoven
Number of pages25
Publication statusPublished - 2014

Publication series

NameCASA-report
Volume1409
ISSN (Print)0926-4507

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