Diffusion in inhomogeneous media with periodic microstructures
Analysis of PDEs
2020-03-17 v1 Statistical Mechanics
Mathematical Physics
math.MP
Abstract
Diffusion in inhomogeneous materials can be described by both the Fick and Fokker--Planck diffusion equations. Here, we study a mixed Fick and Fokker-Planck diffusion problem with coefficients rapidly oscillating both in space and time. We obtain macroscopic models performing the homogenization limit by means of the unfolding technique.
Cite
@article{arxiv.2003.06784,
title = {Diffusion in inhomogeneous media with periodic microstructures},
author = {Micol Amar and Daniele Andreucci and Emilio N. M. Cirillo},
journal= {arXiv preprint arXiv:2003.06784},
year = {2020}
}