Display Abstract

Title Interface singularities for the Euler equations

Name Steve Shkoller
Country USA
Email shkoller@gmail.com
Co-Author(s) D. Coutand
Submit Time 2014-02-27 08:16:55
Session
Special Session 1: Mathematical aspects of fluid dynamics
Contents
I will discuss the problem of interface singularities for the 3-D Euler equations. In the case of one-fluid interfaces, I will discuss the so-called "splash" and "splat" singularities, wherein the crest of a breaking wave crashes onto the trough, and hypersurfaces collide. In the case of two-fluid interfaces, I will explain why such singularities cannot form. This is joint work with D. Coutand.