5 citations · 9 across the 5 of their papers we have counts for
5 papers
Solvability of the moisture transport model for porous materials
Akiko Morimura, Toyohiko Aiki
We consider an initial and boundary value problem invoked from the mathematical model for moisture transport in porous materials. Because of the difficulty appearing in the boundar…
A Class of Initial-Boundary Value Problems Governed by Pseudo-Parabolic Weighted Total Variation Flows
Toyohiko Aiki, Daiki Mizuno, Ken Shirakawa
In this paper, we consider a class of initial-boundary value problems governed by pseudo-parabolic total variation flows. The principal characteristic of our problem lies in the ve…
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…
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…
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…