On the limit of large surface tension for a fluid motion with free boundary

Preprint

26 March 2014

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.1301.7507

Abstract

We study the free boundary Euler equations in two spatial dimensions. We prove that if the boundary is sufficiently regular, then solutions of the free boundary fluid motion converge to solutions of the Euler equations in a fixed domain when the coefficient of surface tension tends to infinity.

Keywords

EULER EQUATIONS
SURFACE TENSION
LARGE SURFACE
FREE BOUNDARY
FLUID MOTION
TENSION
MOTION

All Related Versions

Version 1, 2013-01-31, ArXiv
Version 2, 2014-03-26, ArXiv
Published version: Communications in Partial Differential Equations, 39 (4), 740.

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