Duchon-Robert Solutions for a Two-Fluid Interface

Thursday, September 27, 2012 - 2:00pm to 3:30pm

Duchon and Robert constructed a class of global vortex sheet solutions to the Euler equations, where the vorticity is concentrated on an analytic curve for all positive time. In this talk, I will first discuss the main ideas behind their construction and general properties of vortex sheet solutions. I will then describe an extension of their work to the case of a two-fluid interface. This is joint work with Philippe Sosoe and Percy Wong.

Speaker: 
Thomas Beck
Princeton University
Event Location: 
Fine Hall 601