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Homogenization of the Stokes Problem With Non‐homogeneous Slip Boundary Conditions
Author(s) -
Cioranescu Doina,
Donato Patrizia,
Ene Horia I.
Publication year - 1996
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/(sici)1099-1476(19960725)19:11<857::aid-mma798>3.0.co;2-d
Subject(s) - homogenization (climate) , mathematics , stokes problem , homogeneous , boundary value problem , mathematical analysis , slip (aerodynamics) , stokes flow , geometry , finite element method , thermodynamics , physics , combinatorics , biodiversity , ecology , flow (mathematics) , biology
We study the Stokes system with non‐homogeneous Fourier boundary conditions depending on a parameter, in a domain with periodic inclusions of the size of the period. Following the values of this parameter, we obtain at the limit a Darcy's law, a Brinkmann type equation or a Stokes type equation. We also present a physical model to which the results apply. This model describes the flow of an incompressible viscous fluid through a porous medium under the action of an exterior electric field.