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Integral representation of a solution to the Stokes–Darcy problem
Author(s) -
Medková Dagmar,
Ptashnyk Mariya,
Varnhorn Werner
Publication year - 2014
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.3330
Subject(s) - mathematics , lipschitz continuity , lipschitz domain , representation (politics) , stokes problem , domain (mathematical analysis) , mathematical analysis , stokes flow , boundary value problem , boundary (topology) , geometry , physics , thermodynamics , flow (mathematics) , law , finite element method , politics , political science
With methods of potential theory, we develop a representation of a solution of the coupled Stokes–Darcy model in a Lipschitz domain for boundary data in H −1/2 . Copyright © 2014 John Wiley & Sons, Ltd.