On the Motion of Vortex Sheets with Surface Tension in the 3D Euler Equations with Vorticity

Abstract

We prove well-posedness of vortex sheets with surface tension in the 3D incompressible Euler equations with vorticity.

28 pages

References in corpus (1)

• Geometry and a priori estimates for free boundary problems of the Euler's equation

Cited by in corpus (4)

• A priori estimates for the free-boundary 3-D compressible Euler equations in physical vacuum
• On the impossibility of finite-time splash singularities for vortex sheets
• Local Well-posedness of the three dimensional compressible Euler--Poisson equations with physical vacuum
• Finite time singularity formation for moving interface Euler equations