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

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

Résumé

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).

langue originale	Anglais
Pages (de - à)	203-222
Nombre de pages	20
journal	Asymptotic Analysis
Volume	2
Numéro de publication	3
Les DOIs	https://doi.org/10.3233/ASY-1989-2302
état	Publié - 1 janv. 1989
Modification externe	Oui

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10.3233/ASY-1989-2302

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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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volume = "2",

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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).

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DO - 10.3233/ASY-1989-2302

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SP - 203

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JO - Asymptotic Analysis

JF - Asymptotic Analysis

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Homogenization of the stokes flow in a connected porous medium

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