Interface boundary value problems of Robin‐transmission type for the Stokes and Brinkman systems on n‐dimensional Lipschitz domains: applications |
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| Authors: | Denisa Fericean Teodor Groşan Mirela Kohr Wolfgang L Wendland |
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| Institution: | 1. Faculty of Mathematics and Computer Science, Babe?‐Bolyai University, , 400084 Cluj‐Napoca, Romania;2. Institut für Angewandte Analysis und Numerische Simulation, Universit?t Stuttgart, , 70569 Stuttgart, Germany |
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| Abstract: | 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 Lp 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. |
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| Keywords: | Robin‐transmission problem Stokes and Brinkman systems layer potential operators existence and uniqueness Fredholm operators Sobolev spaces |
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