Derivation of a contact law between a free fluid and thin porous layers via asymptotic analysis methods

DOI10.1080/00036811.2011.632768zbMath1278.35012OpenAlexW2072968018WikidataQ58257915 ScholiaQ58257915MaRDI QIDQ4916342

Alain Brillard, Jamal El Amrani, Mustapha El Jarroudi

Publication date: 22 April 2013

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2011.632768

zbMATH Keywords

Stokes flowhomogenizationcontact law\(\Gamma\)-convergenceNavier-Stokes flowthin porous layerfree fluid flow

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Stokes and related (Oseen, etc.) flows (76D07) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Related Items (2)

Interfacial boundary conditions between a free domain and thin porous layers for non-Newtonian fluid flows ⋮ Well-posed Stokes/Brinkman and Stokes/Darcy coupling revisited with new jump interface conditions

Cites Work

• Homogenization of an incompressible viscous flow in a porous medium with double porosity
• Non-homogeneous media and vibration theory
• On the Boundary Condition at the Surface of a Porous Medium
• Asymptotic analysis of incompressible and viscous fluid flow through porous media. Brinkman's law via epi-convergence methods
• A General Convergence Result for a Functional Related to the Theory of Homogenization
• On The Interface Boundary Condition of Beavers, Joseph, and Saffman

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