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arXiv · 1404.4177

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

Oleh Krehel·Adrian Muntean·Toyohiko Aiki
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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.

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Oleh Krehel, Adrian Muntean, Toyohiko Aiki. 2014-09-16. A thermo-diffusion system with Smoluchowski interactions: well-posedness and homogenization. https://arxiv.org/abs/1404.4177

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