Diffusion in inhomogeneous media with periodic microstructures

Micòl Amar, Daniele Andreucci, Emilio N. M. Cirillo · ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik · 2021

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.

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