Homogenization of the Euler system in a 2D porous medium

DOI10.1016/j.matpur.2004.09.008zbMath1072.35032OpenAlexW2048087357MaRDI QIDQ1775754

Pierre-Louis Lions, Nader Masmoudi

Publication date: 4 May 2005

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matpur.2004.09.008

zbMATH Keywords

limit problemtwo-scale limit

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Related Items

The vanishing viscosity limit in the presence of a porous medium ⋮ Impermeability through a perforated domain for the incompressible two dimensional Euler equations ⋮ A brief introduction to homogenization and miscellaneous applications ⋮ Homogenized dynamics of stochastic partial differential equations with dynamical boundary conditions ⋮ Asymptotic Analysis of Acoustic Waves in a Porous Medium: Microincompressible Flow ⋮ The two dimensional Euler equations on singular exterior domains ⋮ A note on the regularity of the holes for permeability property through a perforated domain for the 2D Euler equations ⋮ Macroscopic model for unsteady flow in porous media ⋮ On some homogenization problems from shallow water theory ⋮ Permeability through a perforated domain for the incompressible 2D Euler equations ⋮ Vortex dynamics on a domain with holes ⋮ A homogenized limit for the 2-dimensional Euler equations in a perforated domain

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