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

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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”.

DOI : 10.1051/cocv:2002053
Classification : 76M50
Keywords: compressible Navier-Stokes, homogenization, porous medium equation 
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     title = {Homogenization of the compressible {Navier-Stokes} equations in a porous medium},
     journal = {ESAIM: Control, Optimisation and Calculus of Variations},
     pages = {885--906},
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     year = {2002},
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     zbl = {1071.76047},
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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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