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Boundary integral equations for viscous incompressible flows in porous media or past porous bodies
Author(s) -
Kohr Mirela,
Kohr Gabriela,
Wendland Wolfgang L.
Publication year - 2008
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200810891
Subject(s) - porous medium , uniqueness , compressibility , mathematical analysis , boundary value problem , mathematics , integral equation , boundary (topology) , flow (mathematics) , mechanics , porosity , physics , geometry , materials science , composite material
The purpose of this paper is to present the existence and uniqueness result for a boundary value problem which describes the flow of a viscous incompressible fluid past an arbitrary porous particle with a Lyapunov boundary, which is embedded in a second porous medium, by using the Brinkman model and the potential theory. We use a boundary integral method that reduces the problem to a system of second kind Fredholm integral equations that has a unique solution in some Hölder spaces. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)