Skip to main content
Browse by:
GROUP

Effective March 10, 2020, all Duke-sponsored events over 50 people have been cancelled, rescheduled, postponed or virtualized.
Please check with the event contact regarding event status. For more information, please see https://coronavirus.duke.edu/events

Beyond Arnold's geodesic framework of an ideal hydrodynamics

Duke Math Applied Math and Analysis
Icon calendar
Wednesday, October 23, 2019
Icon time
12:00 pm - 1:00 pm
Icon speaker
Boris Khesin
Icon series
Applied Math And Analysis Seminar

In the talk we discuss ramifications of Arnold'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 that problems of optimal mass transport are
in a sense dual to the Euler hydrodynamics. Moreover, many equations
of mathematical physics, such as the motion of vortex sheets or fluids
with moving boundary, have Lie groupoid, rather than Lie group,
symmetries (this is a joint work with Anton Izosimov).