Homogenization of a thermo-diffusion system with Smoluchowski interactions | Zendy

Oleh Krehel | Zendy; Toyohiko Aiki | Zendy; Adrian Muntean | Zendy

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Homogenization of a thermo-diffusion system with Smoluchowski interactions

Author(s) -

Oleh Krehel,

Toyohiko Aiki,

Adrian Muntean

Publication year - 2014

Publication title -

networks and heterogeneous media

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.732

H-Index - 34

eISSN - 1556-181X

pISSN - 1556-1801

DOI - 10.3934/nhm.2014.9.739

Subject(s) - homogenization (climate) , porous medium , thermal , mechanics , porosity , smoluchowski coagulation equation , reaction–diffusion system , colloid , materials science , statistical physics , classical mechanics , mathematical analysis , physics , mathematics , thermodynamics , chemistry , composite material , ecology , biology , biodiversity

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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