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Homogenization of the Euler system in a 2D porous medium

✍ Scribed by P.-L. Lions; N. Masmoudi

Publisher
Elsevier Science
Year
2005
Tongue
English
Weight
187 KB
Volume
84
Category
Article
ISSN
0021-7824

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✦ Synopsis

We study the homogenization of the Euler system in a periodic porous medium (of period ε) by using the notion of two-scale convergence. At the limit, we recover a system which couples a cell problem with the macroscopic one.

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✍ Malte A. Peter; Michael Böhm 📂 Article 📅 2008 🏛 John Wiley and Sons 🌐 English ⚖ 219 KB

## Abstract Several choices of scaling are investigated for a coupled system of parabolic partial differential equations in a two‐phase medium at the microscopic scale. This system may be regarded as modelling a reaction–diffusion problem, the Stokes problem of single‐phase flow of a slightly compr