Short-Time Well-Posedness of Free-Surface Problems in Irrotational 3D Fluids

D. M. Ambrose ()
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D. M. Ambrose: Clemson University, Martin Hall, Department of Mathematical Sciences

A chapter in Hyperbolic Problems: Theory, Numerics, Applications, 2008, pp 307-314 from Springer

Abstract: We discuss the proof of short-time well-posedness for free-surface problems in irrotational three-dimensional fluids.We consider three situations: the vortex sheet with surface tension, the water wave, and Darcy flow. A common framework is described for treating each of these problems. In this framework, we choose convenient parameterizations and variables. In each case, we arrive at a system of evolution equations which is amenable to the use of the energy method. The work on the vortex sheet and the water wave is joint with Nader Masmoudi.

Keywords: Surface Tension; Free Surface; Evolution Equation; Water Wave; Tangential Velocity (search for similar items in EconPapers)
Date: 2008
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-540-75712-2_25

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DOI: 10.1007/978-3-540-75712-2_25

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