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Interface boundary value problems of Robin‐transmission type for the Stokes and Brinkman systems on n ‐dimensional Lipschitz domains: applications
Author(s) -
Fericean Denisa,
Groşan Teodor,
Kohr Mirela,
Wendland Wolfgang L.
Publication year - 2013
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.2716
Subject(s) - mathematics , lipschitz domain , sobolev space , lipschitz continuity , mathematical analysis , jump , interface (matter) , type (biology) , stokes flow , boundary value problem , euclidean geometry , flow (mathematics) , geometry , mechanics , physics , ecology , bubble , quantum mechanics , maximum bubble pressure method , biology
In this paper, we describe a layer potential analysis in order to show an existence result for an interface boundary value problem of Robin‐transmission type for the Stokes and Brinkman systems on Lipschitz domains in Euclidean setting, when the given boundary data belong to some L p or Sobolev spaces associated to such domains. Applications related to an exterior three‐dimensional Stokes flow past two concentric porous spheres with stress jump conditions on the fluid‐porous interface are also considered. Copyright © 2013 John Wiley & Sons, Ltd.