Stokes-Brinkman transmission problems on Lipschitz and $C^1$ domains inRiemannian manifolds

Mirela Kohr; Cornel Pintea; Wolfgang L. Wendland

doi:10.3934/cpaa.2010.9.493

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2010, Volume 9, Issue 2: 493-537. Doi: 10.3934/cpaa.2010.9.493

This issue Previous Article Bounds on Sobolev norms for the defocusing nonlinear Schrödinger equation on general flat tori Next Article Asymptotic profiles of eigenfunctions for some 1-dimensional linearized eigenvalue problems

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
2.
Institut für Angewandte Analysis und Numerische Simulation, Universität Stuttgart, Pfaffenwaldring 57, 70569 Stuttgart

Received: January 31, 2009

Revised: August 31, 2009

Published: February 2010

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Abstract

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.

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Mathematics Subject Classification: Primary: 35J25; Secondary: 42B20, 46E35, 76D, 76M.

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

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