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.
Diffusion in inhomogeneous media with periodic microstructures / Amar, M.; Andreucci, D.; Cirillo, E. N. M.. - In: ZEITSCHRIFT FÜR ANGEWANDTE MATHEMATIK UND MECHANIK. - ISSN 1521-4001. - (2021). [10.1002/zamm.202000070]
Diffusion in inhomogeneous media with periodic microstructures
M. Amar;D. Andreucci;E. N. M. Cirillo
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.File allegati a questo prodotto
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