Geometry and a priori estimates for free boundary problems of the Euler's equation
Analysis of PDEs
2007-05-23 v2 Differential Geometry
Abstract
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.
Keywords
Cite
@article{arxiv.math/0608428,
title = {Geometry and a priori estimates for free boundary problems of the Euler's equation},
author = {Jalal Shatah and Chongchun Zeng},
journal= {arXiv preprint arXiv:math/0608428},
year = {2007}
}
Comments
33 pages, submitted, added references