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Homogenization of the Stokes Problem With Non-homogeneous Slip Boundary Conditions

โœ Scribed by Doina Cioranescu; Patrizia Donato; Horia I. Ene

Publisher
John Wiley and Sons
Year
1996
Tongue
English
Weight
889 KB
Volume
19
Category
Article
ISSN
0170-4214

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โœฆ Synopsis

Communicated by K. Kirchgassner

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.

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