Speaker: David Ambrose

Title: Short-time well-posedness of free surface problems in fluids

Abstract: In this talk, I will describe my proofs of short-time well-posedness of various free surface problems in fluids.  This will include well-posedness of vortex sheets with surface tension, water waves, and Hele-Shaw flows. I will describe a common framework for treating each of these problems, and will demonstrate how to perform energy estimates for each problem.