Well-posedness for the motion of an incompressible liquid with free surface boundary

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dc.creatorLindblad, Hans
dc.date2004-02-20
dc.date.accessioned2026-07-07T05:05:36Z
dc.date.available2026-07-07T05:05:36Z
dc.descriptionWe study the motion of an incompressible perfect liquid body in vacuum. This can be thought of as a model for the motion of the ocean or a star. The free surface moves with the velocity of the liquid and the pressure vanishes on the free surface. This leads to a free boundary problem for Euler's equations, where the regularity of the boundary enters to highest order. We prove local existence in Sobolev spaces assuming a "physical condition", related to the fact that the pressure of a fluid has to be positive.
dc.descriptionTo appear in the Annals of Math
dc.identifierhttps://arxiv.org/abs/math/0402327
dc.identifierhttp://arxiv.org/abs/math/0402327
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/70227
dc.subjectAnalysis of PDEs
dc.subjectMathematical Physics
dc.titleWell-posedness for the motion of an incompressible liquid with free surface boundary
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