Johann Radon Institute for Computational and Applied Mathematics
نویسندگان
چکیده
We consider a differential system based on the coupling of the Navier-Stokes and Darcy equations for modeling the interaction between surface and subsurface flows. We formulate the problem as an interface equation, we analyze the associated (nonlinear) Steklov-Poincaré operators, and we prove its wellposedness.
منابع مشابه
Domain Decomposition Solvers for Frequency-Domain Finite Element Equations
1 Institute for Applied Mathematics and Computational Science, Texas A&M University, College Station, USA, [email protected] 2 Institute of Computational Mathematics, Johannes Kepler University, Linz, Austria, [email protected]; [email protected] 3 Johann Radon Institute for Computational and Applied Mathematics, Austrian Academy of Sciences, Linz, Austria, ulrich.lan...
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Olaf Benedix1, Boris Vexler2 Johann Radon Institute for Computational and Applied Mathematics (RICAM), Austrian Academy of Sciences, Altenberger Straße 69, 4040 Linz, Austria, [email protected] Johann Radon Institute for Computational and Applied Mathematics (RICAM), Austrian Academy of Sciences, Altenberger Straße 69, 4040 Linz, Austria, [email protected]
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We provide high-order approximations to periodic travelling wave profiles and to the velocity field and the pressure beneath the waves, in flows with constant vorticity over a flat bed.
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1 Computational Science Center, University of Vienna, Nordbergstrasse 15, 1090 Wien, Austria {guozhi.dong,markus.grasmair,otmar.scherzer}@univie.ac.at 2 Catholic University Eichstätt–Ingolstadt, Ostenstrasse 26, 85072 Eichstätt, Germany 3 School of Mathematics, Georgia Institute of Technology, 686 Cherry Street NW Atlanta, GA 30332-0160, USA [email protected] 4 Johann Radon Institute for Com...
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Peter A. Markowich works in the area of partial differential equations and their applications in science and engineering. He holds a Chair in Applied Mathematics at the Department of Applied Mathematics and Theoretical Physics of the University of Cambridge. He is also Professor at the University of Vienna and leader of a research group at the Johann Radon Institute for Computational and Applie...
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