BIRS Workshop Lecture Videos

Banff International Research Station Logo

BIRS Workshop Lecture Videos

Beyond Arnoldâ s geodesic framework of an ideal hydrodynamics Khesin, Boris


We discuss a ramification of Arnoldâ s group-theoretic approach to ideal hydrodynamics as the geodesic flow for a right-invariant metric on the group of volume-preserving diffeomorphisms. We show such problems of mathematical physics as the motion of vortex sheets or fluids with moving boundary, have Lie groupoid, rather than Lie group, symmetries, and describe the corresponding geometry and equations. (This is a joint work with Anton Izosimov.)

Item Media

Item Citations and Data


Attribution-NonCommercial-NoDerivatives 4.0 International