Boundary integral equations for a three‐dimensional Brinkman flow problem | Zendy

Kohr Mirela | Zendy; Wendland Wolfgang L. | Zendy

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Boundary integral equations for a three‐dimensional Brinkman flow problem

Author(s) -

Kohr Mirela,

Wendland Wolfgang L.

Publication year - 2009

Publication title -

mathematische nachrichten

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.913

H-Index - 50

eISSN - 1522-2616

pISSN - 0025-584X

DOI - 10.1002/mana.200710797

Subject(s) - mathematics , uniqueness , stokes flow , sobolev space , porous medium , compressibility , flow (mathematics) , mathematical analysis , porosity , mechanics , geometry , physics , geology , geotechnical engineering

The purpose of this paper is to prove existence and uniqueness in Sobolev or Hölder spaces for a transmission problem which describes the flow of a viscous incompressible fluid past a porous particle embedded in a second porous medium, by using the Brinkman model and potential theory. Some particular cases, which refer to Stokes flow past a porous particle, or to Brinkman's flow past a void, are also presented together with corresponding asymptotic results for the flow velocity field and the hydrodynamic force exerted on the particle (© 2009 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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