A thermo-diffusion system with Smoluchowski interactions: well-posedness and homogenization
Analysis of PDEs
2014-09-17 v2
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.
Cite
@article{arxiv.1404.4177,
title = {A thermo-diffusion system with Smoluchowski interactions: well-posedness and homogenization},
author = {Oleh Krehel and Adrian Muntean and Toyohiko Aiki},
journal= {arXiv preprint arXiv:1404.4177},
year = {2014}
}