# American Institute of Mathematical Sciences

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March  2010, 9(2): 493-537. doi: 10.3934/cpaa.2010.9.493

## Stokes-Brinkman transmission problems on Lipschitz and $C^1$ domains in Riemannian manifolds

 1 Faculty of Mathematics and Computer Science, Babeş-Bolyai University, 1 M. Kogălniceanu Str., 400084 Cluj-Napoca, Romania, Romania 2 Institut für Angewandte Analysis und Numerische Simulation, Universität Stuttgart, Pfaffenwaldring 57, 70569 Stuttgart, Germany

Received  February 2009 Revised  September 2009 Published  December 2009

The purpose of this paper is to treat some transmission problems for the Stokes-Brinkman-coupled system on Lipschitz or $C^1$ domains in Riemannian manifolds, by using the method of boundary integral equations.
Citation: Mirela Kohr, Cornel Pintea, Wolfgang L. Wendland. Stokes-Brinkman transmission problems on Lipschitz and $C^1$ domains in Riemannian manifolds. Communications on Pure & Applied Analysis, 2010, 9 (2) : 493-537. doi: 10.3934/cpaa.2010.9.493
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