Vortex sheets and diffeomorphism groupoids
Speaker: Anton Izosimov, University of Toronto, Mathematics
Abstract: In 1966 V. Arnold suggested a group-theoretic framework for ideal hydrodynamics in which the motion of an inviscid incompressible fluid is described as the geodesic flow of a right-invariant metric on the group of volume-preserving diffeomorphisms of the flow domain. In my talk, I will review Arnold's framework and show how it can be extended to incorporate certain discontinuous fluid motions, known as vortex sheets. It turns out that the corresponding dynamics is related to a certain groupoid of "discontinuous diffeomorphisms". This is joint work with B.Khesin.
Room Reservation Information
Room Number: 106 McAllister
Time: 3:35pm - 4:35pm