Diffusion in inhomogeneous media with periodic microstructures

Autor:	Amar, Micol, Andreucci, Daniele, Cirillo, Emilio N. M.
Rok vydání:	2020
Předmět:	Mathematics - Analysis of PDEs Condensed Matter - Statistical Mechanics Mathematical Physics
Druh dokumentu:	Working Paper
Popis:	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.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2003.06784 Zobrazit plný text záznamu View this record from Arxiv