Homogenization of the stokes flow in a connected porous medium

Grégoire Allaire

doi:10.3233/ASY-1989-2302

Homogenization of the stokes flow in a connected porous medium

Grégoire Allaire

Université de Toulouse Météo-France

Research output: Contribution to journal › Article › peer-review

211 Citations (Scopus)

Abstract

This paper we prove the convergence of the homogenization process of the Stokes equations with Dirichlet boundary condition in a periodic porous medium. We consider here the case where the solid part of the porous medium is connected, and we generalize to this case the results obtained by Tartar (1980).

Original language	English
Pages (from-to)	203-222
Number of pages	20
Journal	Asymptotic Analysis
Volume	2
Issue number	3
DOIs	https://doi.org/10.3233/ASY-1989-2302
Publication status	Published - 1 Jan 1989
Externally published	Yes

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title = "Homogenization of the stokes flow in a connected porous medium",

abstract = "This paper we prove the convergence of the homogenization process of the Stokes equations with Dirichlet boundary condition in a periodic porous medium. We consider here the case where the solid part of the porous medium is connected, and we generalize to this case the results obtained by Tartar (1980).",

author = "Gr{\'e}goire Allaire",

year = "1989",

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doi = "10.3233/ASY-1989-2302",

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AU - Allaire, Grégoire

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N2 - This paper we prove the convergence of the homogenization process of the Stokes equations with Dirichlet boundary condition in a periodic porous medium. We consider here the case where the solid part of the porous medium is connected, and we generalize to this case the results obtained by Tartar (1980).

AB - This paper we prove the convergence of the homogenization process of the Stokes equations with Dirichlet boundary condition in a periodic porous medium. We consider here the case where the solid part of the porous medium is connected, and we generalize to this case the results obtained by Tartar (1980).

U2 - 10.3233/ASY-1989-2302

DO - 10.3233/ASY-1989-2302

M3 - Article

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VL - 2

SP - 203

EP - 222

JO - Asymptotic Analysis

JF - Asymptotic Analysis

IS - 3

ER -

Homogenization of the stokes flow in a connected porous medium

Abstract

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