Derivation of microstructure models of fluid flow by homogenization

DOI10.1006/jmaa.1998.6085zbMath0927.35081OpenAlexW2081966728MaRDI QIDQ1272860

G. W. Clark

Publication date: 13 December 1999

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1998.6085

zbMATH Keywords

existenceuniquenessblocksperiodic structuremicrostructure modeldouble porosity modelfissures

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Flows in porous media; filtration; seepage (76S05) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Related Items

Homogenization of a stochastic model of a single phase flow in partially fissured media ⋮ Well-posedness for a quasilinear generalization of the matched microstructure model ⋮ Two-scale homogenization of non-linear degenerate evolution equations ⋮ Homogenization of a dual-permeability problem in two-component media with imperfect contact.

Cites Work

• Micro-structure models of diffusion in fissured media
• Non-homogeneous media and vibration theory
• Two-scale homogenization of implicit degenerate evolution equations
• Homogenization and porous media
• Derivation of the Double Porosity Model of Single Phase Flow via Homogenization Theory
• Diffusion of Fluid in a Fissured Medium with Microstructure
• Homogenization and Two-Scale Convergence
• Fluid flow in a layered medium
• Convergence of the Homogenization Process for a Double-Porosity Model of Immiscible Two-Phase Flow
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