Boundary integral equations for viscous incompressible flows in porous media or past porous bodies | Zendy

Kohr Mirela | Zendy; Kohr Gabriela | Zendy; Wendland Wolfgang L. | Zendy

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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)

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