Well-posedness of the free-surface incompressible Euler equations with or without surface tension

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dc.creatorCoutand, Daniel
dc.creatorShkoller, Steve
dc.date2005-11-09
dc.date2006-11-15
dc.date.accessioned2026-07-07T06:51:03Z
dc.date.available2026-07-07T06:51:03Z
dc.descriptionWe provide a new method for treating free boundary problems in perfect fluids, and prove local-in-time well-posedness in Sobolev spaces for the free-surface incompressible 3D Euler equations with or without surface tension for arbitrary initial data, and without any irrotationality assumption on the fluid. This is a free boundary problem for the motion of an incompressible perfect liquid in vacuum, wherein the motion of the fluid interacts with the motion of the free-surface at highest-order.
dc.descriptionTo appear in J. Amer. Math. Soc., 96 pages
dc.identifierhttps://arxiv.org/abs/math/0511236
dc.identifierhttp://arxiv.org/abs/math/0511236
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/104857
dc.subjectAnalysis of PDEs
dc.subjectMathematical Physics
dc.subject35Q35, 35R35, 35Q05, 76B03
dc.titleWell-posedness of the free-surface incompressible Euler equations with or without surface tension
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