On the Limit as the Density Ratio Tends to Zero for Two Perfect Incompressible Fluids Separated by a Surface of Discontinuity

DOI10.1080/03605300903503115zbMath1247.35100OpenAlexW2013623572MaRDI QIDQ3578737

Steve Shkoller, Daniel Coutand, C. H. Arthur Cheng

Publication date: 20 July 2010

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605300903503115

zbMATH Keywords

Euler equationstwo-phase flowsurface tensionvortex sheet

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Capillarity (surface tension) for incompressible inviscid fluids (76B45) Free boundary problems for PDEs (35R35) Liquid-gas two-phase flows, bubbly flows (76T10) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03)

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The water wave equation ⋮ On the impossibility of finite-time splash singularities for vortex sheets ⋮ Recent advances on the global regularity for irrotational water waves ⋮ Well-posedness of the free boundary problem in incompressible MHD with surface tension ⋮ A stability criterion for two-fluid interfaces and applications ⋮ Rigorous asymptotic models of water waves ⋮ Global well-posedness of the free-interface incompressible Euler equations with damping ⋮ ON THE LIMIT AS THE SURFACE TENSION AND DENSITY RATIO TEND TO ZERO FOR THE TWO-PHASE EULER EQUATIONS

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