Vortex sheets and diffeomorphism groupoids

Applied Analysis Seminar

Meeting Details

For more information about this meeting, contact Amy Hanley, Leonid Berlyand, Alexei Novikov, Mark Levi.

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

Date: 12/07/2016

Time: 3:35pm - 4:35pm