Asymptotic analysis of incompressible and viscous fluid flow through porous media. Brinkman's law via epi-convergence methods
From MaRDI portal
Publication:3765484
DOI10.5802/afst.639zbMath0628.76093OpenAlexW2333355079MaRDI QIDQ3765484
Publication date: 1986
Published in: Annales de la faculté des sciences de Toulouse Mathématiques (Search for Journal in Brave)
Full work available at URL: http://www.numdam.org/item?id=AFST_1986-1987_5_8_2_225_0
Flows in porous media; filtration; seepage (76S05) Partial differential equations of mathematical physics and other areas of application (35Q99)
Related Items (17)
Homogenization of the Stokes Problem With Non-homogeneous Slip Boundary Conditions ⋮ Interfacial boundary conditions between a free domain and thin porous layers for non-Newtonian fluid flows ⋮ Homogenization of the Navier-Stokes equations with a slip boundary condition ⋮ A brief introduction to homogenization and miscellaneous applications ⋮ Asymptotics for dilute emulsions with surface tension ⋮ Asymptotic behaviour of a viscoplastic bingham fluid in porous media with periodic structure ⋮ Homogenization of the Stokes equations with high-contrast viscosity. ⋮ Unnamed Item ⋮ Well-posed Stokes/Brinkman and Stokes/Darcy coupling revisited with new jump interface conditions ⋮ Derivation of a contact law between a free fluid and thin porous layers via asymptotic analysis methods ⋮ Homogenization of the Navier-Stokes equations in open sets perforated with tiny holes. I: Abstract framework, a volume distribution of holes ⋮ Dilute emulsions with surface tension ⋮ Rate of convergence for a multi-scale model of dilute emulsions with non-uniform surface tension ⋮ Derivation of Darcy's law in randomly perforated domains ⋮ Lower-dimensional nonlinear Brinkman's law for non-Newtonian flows in a thin porous medium ⋮ Homogenisation for the Stokes equations in randomly perforated domains under almost minimal assumptions on the size of the holes ⋮ Convergence of the pressure in the homogenization of the Stokes equations in randomly perforated domains
Cites Work
This page was built for publication: Asymptotic analysis of incompressible and viscous fluid flow through porous media. Brinkman's law via epi-convergence methods
