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arXiv:math/0608428 [math.AP]AbstractReferencesReviewsResources

Geometry and a priori estimates for free boundary problems of the Euler's equation

Jalal Shatah, Chongchun Zeng

Published 2006-08-16, updated 2006-10-12Version 2

In this paper we derive estimates to the free boundary problem for the Euler equation with surface tension, and without surface tension provided the Rayleigh-Taylor sign condition holds. We prove that as the surface tension tends to zero, when the Rayleigh-Taylor condition is satisfied, solutions converge to the Euler flow with zero surface tension.

Comments: 33 pages, submitted, added references
Categories: math.AP, math.DG
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