# Homogenization of the compressible Navier–Stokes equations in a porous medium

ESAIM: Control, Optimisation and Calculus of Variations (2010)

- Volume: 8, page 885-906
- ISSN: 1292-8119

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topMasmoudi, Nader. "Homogenization of the compressible Navier–Stokes equations in a porous medium." ESAIM: Control, Optimisation and Calculus of Variations 8 (2010): 885-906. <http://eudml.org/doc/90676>.

@article{Masmoudi2010,

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”.
},

author = {Masmoudi, Nader},

journal = {ESAIM: Control, Optimisation and Calculus of Variations},

keywords = {Compressible Navier–Stokes; homogenization; porous medium equation.; convergence; Dirichlet boundary conditions; porous medium equation},

language = {eng},

month = {3},

pages = {885-906},

publisher = {EDP Sciences},

title = {Homogenization of the compressible Navier–Stokes equations in a porous medium},

url = {http://eudml.org/doc/90676},

volume = {8},

year = {2010},

}

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

DA - 2010/3//

PB - EDP Sciences

VL - 8

SP - 885

EP - 906

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”.

LA - eng

KW - Compressible Navier–Stokes; homogenization; porous medium equation.; convergence; Dirichlet boundary conditions; porous medium equation

UR - http://eudml.org/doc/90676

ER -

## References

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