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

Preprint

12 October 2006

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.math/0608428

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

FREE BOUNDARY PROBLEM
ZERO SURFACE TENSION
BOUNDARY PROBLEMS
PRIORI ESTIMATES
EULER'S EQUATION
RAYLEIGH TAYLOR

All Related Versions

Version 1, 2006-08-16, ArXiv
Version 2, 2006-10-12, ArXiv

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