Vortex Sheets and Groupoids in Ideal Hydrodynamics

Explore the group-theoretic approach to ideal hydrodynamics and its extensions in this mathematics colloquium talk. Delve into the concept of vortex sheets and their connection to Lie groupoids, examining how this framework applies to various equations in mathematical physics. Learn about the geodesic setting for phenomena such as fluids with moving boundaries and multiphase fluids. Discover the implications of this approach for describing homogenized vortex sheets and Brenier's generalized flows. Gain insights from the joint work of Boris Khesin and Anton Izosimov, presented at Stony Brook University's Mathematics Department Colloquium.