Homogenization of the compressible Navier-stokes equations in a porous medium

Nader Masmoudi

doi:10.1051/cocv:2002053

Homogenization of the compressible Navier-stokes equations in a porous medium

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Abstract

We study the homogenization of the compressible Navier-Stokes system in a periodic porous medium (of period ε) with Dirichlet boundary conditions. At the limit, we recover different systems depending on the scaling we take. In particular, we rigorously derive the so-called "porous medium equation".

Original language	English (US)
Pages (from-to)	885-906
Number of pages	22
Journal	ESAIM - Control, Optimisation and Calculus of Variations
Volume	8
DOIs	https://doi.org/10.1051/cocv:2002053
State	Published - Jun 2002

Keywords

Compressible Navier-Stokes
Homogenization
Porous medium equation

ASJC Scopus subject areas

Control and Systems Engineering
Control and Optimization
Computational Mathematics

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10.1051/cocv:2002053

Cite this

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AB - We study the homogenization of the compressible Navier-Stokes system in a periodic porous medium (of period ε) with Dirichlet boundary conditions. At the limit, we recover different systems depending on the scaling we take. In particular, we rigorously derive the so-called "porous medium equation".

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KW - Homogenization

KW - Porous medium equation

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JO - ESAIM - Control, Optimisation and Calculus of Variations

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ER -

Homogenization of the compressible Navier-stokes equations in a porous medium

Abstract

Keywords

ASJC Scopus subject areas

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