On the one fluid limit for vortex sheet
Analysis of PDEs
2009-08-25 v1
Abstract
We consider the interface problem between two incompressible and inviscid fluids in the presence of surface tension. Following the geometric approach of [Shatah,J.;Zeng,C. A priori estimates for Fluid Interface Problems. CPAM, vol.16, no.6, June 2008] we show that solutions to this problem converge to solutions of the free-boundary Euler equations in vacuum as one of the densities goes to zero.
Cite
@article{arxiv.0908.3353,
title = {On the one fluid limit for vortex sheet},
author = {Fabio Pusateri},
journal= {arXiv preprint arXiv:0908.3353},
year = {2009}
}
Comments
19 pages