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.
Highlights
We aim at understanding processes driven by coupled fluxes through media with microstructures
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
Summary
Citation for published version (APA): Krehel, O., Aiki, T., & Muntean, A. (2014). Homogenization of a thermo-diffusion system with Smoluchowski interactions. Citation for published version (APA): Krehel, O., Aiki, T., & Muntean, A. General rights Copyright and moral rights for the publications made accessible in the public portal are retained by the authors and/or other copyright owners and it is a condition of accessing publications that users recognise and abide by the legal requirements associated with these rights. Users may download and print one copy of any publication from the public portal for the purpose of private study or research. You may not further distribute the material or use it for any profit-making activity or commercial gain You may freely distribute the URL identifying the publication in the public portal ? NETWORKS AND HETEROGENEOUS MEDIA c American Institute of Mathematical Sciences Volume 9, Number 4, December 2014 doi:10.3934/nhm.2014.9.739 pp.
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