On the one fluid limit for vortex sheet
公开/公告号：
10.48550/arXiv.0908.3353
公开/公告日期：
2009/08/24
被引量：
摘要：
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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