On the one fluid limit for vortex sheet

Details On the one fluid limit for vortex sheet On the one fluid limit for vortex sheet

2009-08-24

arxiv.org/abs/0908.3353v1

Mathematics

Analysis of PDEs

19 pages

Scientific paper

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.

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