Diffusion in Spatially Varying Porous Media

DOI10.1137/141001834zbMath1320.35038arXiv1501.06549OpenAlexW3099137143MaRDI QIDQ5499911

Maria Bruna, S. Jonathan Chapman

Publication date: 5 August 2015

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1501.06549

zbMATH Keywords

matched asymptotic expansionseffective diffusion coefficientmultiple scalesstochastic approachdeterministic approachvariable porosity

Mathematics Subject Classification ID

Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70) Fokker-Planck equations (35Q84)

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Cites Work

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• Diffusion and viscous flow in concentrated suspensions
• A Variational Approach to the Theory of the Effective Magnetic Permeability of Multiphase Materials
• Dispersion resulting from flow through spatially periodic porous media
• The method of averaging and walks in inhomogeneous environments

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