ON THE LIMIT AS THE SURFACE TENSION AND DENSITY RATIO TEND TO ZERO FOR THE TWO-PHASE EULER EQUATIONS

DOI10.1142/S021989161100241XzbMath1222.35147arXiv0912.3296MaRDI QIDQ3087087

Fabio Pusateri

Publication date: 2 August 2011

Published in: Journal of Hyperbolic Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0912.3296

zbMATH Keywords

Euler equationssurface tensionvortex-sheet problem

Mathematics Subject Classification ID

Euler equations (35Q31)

Related Items (9)

On the impossibility of finite-time splash singularities for vortex sheets ⋮ On the existence for the free interface 2D Euler equation with a localized vorticity condition ⋮ Local-in-time existence of a free-surface 3D Euler flow with H ^2+δ initial vorticity in a neighborhood of the free boundary ⋮ Recent advances on the global regularity for irrotational water waves ⋮ A stability criterion for two-fluid interfaces and applications ⋮ Global well-posedness of the free-interface incompressible Euler equations with damping ⋮ A priori estimates for the free-boundary Euler equations with surface tension in three dimensions ⋮ A Lagrangian Interior Regularity Result for the Incompressible Free Boundary Euler Equation with Surface Tension ⋮ Global Regularity for the Quadratic Klein-Gordon Equation inR¹⁺²

Cites Work

• Unnamed Item
• Well-posedness for the motion of an incompressible liquid with free surface boundary
• Well-posedness in Sobolev spaces of the full water wave problem in 2D
• Well-posedness of 3D vortex sheets with surface tension
• Sur la géométrie différentielle des groupes de Lie de dimension infinite et ses applications à l'hydrodynamique des fluides parfaits
• Groups of diffeomorphisms and the motion of an incompressible fluid
• Well-posedness of the free-surface incompressible Euler equations with or without surface tension
• On the motion of vortex sheets with surface tension in three-dimensional Euler equations with vorticity
• On the Limit as the Density Ratio Tends to Zero for Two Perfect Incompressible Fluids Separated by a Surface of Discontinuity
• The equations of motion of a perfect fluid with free boundary are not well posed.
• Minimal geodesics on groups of volume-preserving maps and generalized solutions of the Euler equations
• Well-posedness in Sobolev spaces of the full water wave problem in 3-D
• Growth rates for the linearized motion of fluid interfaces away from equilibrium
• Well-Posedness of Vortex Sheets with Surface Tension
• Ill-posedness of the rayleigh-taylor and helmholtz problems for incompressible fluids
• A priori estimates for fluid interface problems
• Geometry and a priori estimates for free boundary problems of the Euler's equation
• The zero surface tension limit two‐dimensional water waves

This page was built for publication: ON THE LIMIT AS THE SURFACE TENSION AND DENSITY RATIO TEND TO ZERO FOR THE TWO-PHASE EULER EQUATIONS