Interface dynamics for incompressible flows

Interface dynamics for incompressible flows

-
Diego Cordoba Gazolaz, Princeton University
Fine Hall 110

The goal of these lectures is to present the main ideas and arguments of recent results concerning global solutions and finite time singularities for interface dynamics. In particular those contour dynamics that are given by basic fluid mechanics systems; Euler´s equation, Darcy´s law and the Quasi-geostrophic equation. These give rise to problems such as water wave, Muskat, and the evolution of sharp fronts of temperature.