5 citations · 8 across the 3 of their papers we have counts for
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math.AP2016
Large-time behavior of solutions to a thermo-diffusion system with Smoluchowski interactions
Toyohiko Aiki, Adrian Muntean
We prove the large time behavior of solutions to a coupled thermo-diffusion arising in the modelling of the motion of hot colloidal particles in porous media. Additionally, we also…
math.AP2014★ 3 cited
A thermo-diffusion system with Smoluchowski interactions: well-posedness and homogenization
Oleh Krehel, Adrian Muntean, Toyohiko Aiki
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…
math.AP2012★ 5 cited
Distributed space scales in a semilinear reaction-diffusion system including a parabolic variational inequality: A well-posedness study
Tasnim Fatima, Adrian Muntean, Toyohiko Aiki
This paper treats the solvability of a semilinear reaction-diffusion system, which incorporates transport (diffusion) and reaction effects emerging from two separated spatial scale…