Free-boundary problems in fluid dynamics
Steve Shkoller (University of California
I will discuss a priori estimates, existence theorems, and the splash
singularity for the incompressible and compressible Euler equations with
moving free-boundary (and vacuum). I also explain how methods developed for
the Euler equations provide a natural framework for the analysis of the
classical Stefan problem. Finally, I will explain a new strategy for the
analysis of the compressible MHD equations.