Homogenization of the compressible Navier–Stokes equations in a porous medium
Courant Institute, 251 Mercer Street,
New York, NY 10012, USA; firstname.lastname@example.org.
Partially supported by NSF grant and an Alfred Sloan fellowship.
Revised: 5 March 2002
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”.
Mathematics Subject Classification: 76M50
Key words: Compressible Navier–Stokes / homogenization / porous medium equation.
© EDP Sciences, SMAI, 2002