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Boundary integral method for Stokes flow past a porous body
Author(s) -
Kohr Mirela,
Raja Sekhar G. P.,
Wendland Wolfgang L.
Publication year - 2008
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.958
Subject(s) - uniqueness , mathematics , stokes flow , mathematical analysis , boundary value problem , flow (mathematics) , porous medium , integral equation , stokes problem , porosity , geometry , finite element method , physics , geotechnical engineering , engineering , thermodynamics
In this paper we obtain an indirect boundary integral method in order to prove existence and uniqueness of the classical solution to a boundary value problem for the Stokes–Brinkman‐coupled system, which describes an unbounded Stokes flow past a porous body in terms of Brinkman's model. Therefore, one assumes that the flow inside the body is governed by the continuity and Brinkman equations. Some asymptotic results in both cases of large and, respectively, of low permeability are also obtained. Copyright © 2007 John Wiley & Sons, Ltd.