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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)