Homogenization of the compressible Navier-stokes equations in a porous medium

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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".

Original languageEnglish (US)
Pages (from-to)885-906
Number of pages22
JournalESAIM - Control, Optimisation and Calculus of Variations
Volume8
DOIs
StatePublished - Jun 2002

Keywords

  • Compressible Navier-Stokes
  • Homogenization
  • Porous medium equation

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Control and Optimization
  • Computational Mathematics

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