Diffusion in inhomogeneous media with periodic microstructures

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...

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Veröffentlicht in:Zeitschrift für angewandte Mathematik und Mechanik 2021-12, Vol.101 (12), p.n/a
Hauptverfasser: Amar, Micol, Andreucci, Daniele, Cirillo, Emilio N.M.
Format: Artikel
Sprache:eng
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Zusammenfassung: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 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.
ISSN:0044-2267
1521-4001
DOI:10.1002/zamm.202000070