Duchon-Robert Solutions for a Two-Fluid Interface
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.