On the steady-state flow of an incompressible fluid through a randomly perforated porous medium

DOI10.1006/jdeq.1998.3436zbMath0930.76094OpenAlexW2012801220MaRDI QIDQ1268412

Steve Wright

Publication date: 14 February 2000

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jdeq.1998.3436

zbMATH Keywords

two-scale convergenceDarcy-type lawtheory of stochastic differentiationtwo-pressure Stokes system

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Stochastic analysis applied to problems in fluid mechanics (76M35) Stokes and related (Oseen, etc.) flows (76D07) Homogenization applied to problems in fluid mechanics (76M50)

Related Items

Homogenization of Richards' equations in multiscale porous media with soft inclusions ⋮ Homogenization of the linearized ionic transport equations in random porous media ⋮ Periodic reiterated homogenization of stationary Navier-Stokes type equations ⋮ On diffusion of a single-phase, slightly compressible fluid through a randomly fissured medium ⋮ A stochastic model for fronts in porous media ⋮ Asymptotic behaviour of viscoelastic composites with almost periodic microstructures

Cites Work

• Non-homogeneous media and vibration theory
• Homogenization and Two-Scale Convergence
• A General Convergence Result for a Functional Related to the Theory of Homogenization
• Darcy's law for slow viscous flow past a stationary array of bubbles
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