On the macroscopic description of slow viscous flow past a random array of spheres
type: Item
instance of: scholarly article
title: On the macroscopic description of slow viscous flow past a random array of spheres
zbMATH Open document ID: 0629.76104
DOI: 10.1007/BF01011910
author: Jacob Rubinstein
published in: Journal of Statistical Physics
publication date: 1986-01-01T00:00:00Z
review text: We give rigorous derivation of Brinkman's equation as the effective equation for slow viscous flow in porous media with high porosity. The medium is composed of spherical obstacles distributed randomly, and the microscopic flow is described by the Stokes equation. Along the road we give \(W^ 1_ 2\) convergence estimates for the point-sources approximation.
Mathematics Subject Classification ID: 76S05
Mathematics Subject Classification ID: 35Q99
zbMATH DE Number: 4025063
zbMATH Keywords: random media
zbMATH Keywords: rigorous derivation of Brinkman's equation
zbMATH Keywords: slow viscous flow in porous media
zbMATH Keywords: spherical obstacles
zbMATH Keywords: microscopic flow
zbMATH Keywords: Stokes equation
zbMATH Keywords: point-sources approximation
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4025063