Boundary integral equations for a three‐dimensional Brinkman flow problem

The purpose of this paper is to prove existence and uniqueness in Sobolev or Holder 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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