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Integral representation of a solution to the Stokes–Darcy problem
Authors:Dagmar Medková  Mariya Ptashnyk  Werner Varnhorn
Institution:1. Mathematical Institute, Academy of Sciences of the Czech Republic, ?itná 25, 115 67 Praha 1, Prague, Czech Republic;2. Division of Mathematics, University of Dundee, Dundee, DD1 4HN, Scotland, UK;3. Institute of Mathematics, University of Kassel, Kassel, 34109, Germany
Abstract: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.
Keywords:Stokes–  Darcy problem  boundary layer potential  subclass35Q30
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