Homogenization of the compressible Navier-Stokes equations in a porous medium
ESAIM: Control, Optimisation and Calculus of Variations, Tome 8 (2002) , pp. 885-906.

We study the homogenization of the compressible Navier-Stokes system in a periodic porous medium (of period $\epsilon$) 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”.

DOI : https://doi.org/10.1051/cocv:2002053
Classification : 76M50
Mots clés : compressible Navier-Stokes, homogenization, porous medium equation
@article{COCV_2002__8__885_0,
title = {Homogenization of the compressible Navier-Stokes equations in a porous medium},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
pages = {885--906},
publisher = {EDP-Sciences},
volume = {8},
year = {2002},
doi = {10.1051/cocv:2002053},
zbl = {1071.76047},
language = {en},
url = {http://archive.numdam.org/articles/10.1051/cocv:2002053/}
}
Masmoudi, Nader. Homogenization of the compressible Navier-Stokes equations in a porous medium. ESAIM: Control, Optimisation and Calculus of Variations, Tome 8 (2002) , pp. 885-906. doi : 10.1051/cocv:2002053. http://archive.numdam.org/articles/10.1051/cocv:2002053/

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