On the steady-state flow of an incompressible fluid through a randomly perforated porous medium
type: Item
instance of: scholarly article
title: On the steady-state flow of an incompressible fluid through a randomly perforated porous medium
zbMATH Open document ID: 0930.76094
author: Steve Wright
published in: Journal of Differential Equations
publication date: 2000-02-14T00:00:00Z
review text: The author applies the theory of stochastic differentiation to the homogenization of steady-state Stokes equations for an incompressible fluid when the perforation is obtained from a random process. The homogenized flow, obtained via the stochastic two-scale convergence in the mean, is shown to satisfy a Darcy-type law and a two-pressure Stokes system with both deterministic and stochastic derivatives.
Mathematics Subject Classification ID: 76S05
Mathematics Subject Classification ID: 76M50
Mathematics Subject Classification ID: 76M35
Mathematics Subject Classification ID: 76D07
zbMATH DE Number: 1212362
zbMATH Keywords: theory of stochastic differentiation
zbMATH Keywords: two-scale convergence
zbMATH Keywords: Darcy-type law
zbMATH Keywords: two-pressure Stokes system
reviewed by: Dan Polisevski
MaRDI profile type: Publication
full work available at URL: jdeq.1998.3436
OpenAlex ID: W2012801220
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DOI: 10.1006/JDEQ.1998.3436
description: scientific article; zbMATH DE number 1212362