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We study the homogenization of the compressible Navier-Stokes system in a periodic porous medium (of period ) 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”.
@article{COCV_2002__8__885_0,
author = {Masmoudi, Nader},
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://geodesic.mathdoc.fr/articles/10.1051/cocv:2002053/}
}
TY - JOUR AU - Masmoudi, Nader TI - Homogenization of the compressible Navier-Stokes equations in a porous medium JO - ESAIM: Control, Optimisation and Calculus of Variations PY - 2002 SP - 885 EP - 906 VL - 8 PB - EDP-Sciences UR - http://geodesic.mathdoc.fr/articles/10.1051/cocv:2002053/ DO - 10.1051/cocv:2002053 LA - en ID - COCV_2002__8__885_0 ER -
%0 Journal Article %A Masmoudi, Nader %T Homogenization of the compressible Navier-Stokes equations in a porous medium %J ESAIM: Control, Optimisation and Calculus of Variations %D 2002 %P 885-906 %V 8 %I EDP-Sciences %U http://geodesic.mathdoc.fr/articles/10.1051/cocv:2002053/ %R 10.1051/cocv:2002053 %G en %F COCV_2002__8__885_0
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
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