The free boundary Euler equations with large surface tension
Analysis of PDEs
2016-05-12 v3
Abstract
We study the free boundary Euler equations with surface tension in three spatial dimensions, showing that the equations are well-posed if the coefficient of surface tension is positive. Then we prove that under natural assumptions, the solutions of the free boundary motion converge to solutions of the Euler equations in a domain with fixed boundary when the coefficient of surface tension tends to infinity.
Cite
@article{arxiv.1506.02094,
title = {The free boundary Euler equations with large surface tension},
author = {Marcelo M. Disconzi and David G. Ebin},
journal= {arXiv preprint arXiv:1506.02094},
year = {2016}
}
Comments
to appear in Journal of Differential Equations