Homogenization of a thermo-diffusion system with Smoluchowski interactions

O. Krehel, T. Aiki, A. Muntean

Research output: Contribution to journalArticleAcademicpeer-review

13 Citations (Scopus)
187 Downloads (Pure)

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. Keywords: Homogenization, well-posedness, colloids, thermal-diffusion, cross-diffusion, combustion.
Original languageEnglish
Pages (from-to)739-762
Number of pages24
JournalNetworks and Heterogeneous Media
Volume9
Issue number4
DOIs
Publication statusPublished - 2014

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