Boris Khesin (University of Toronto)
TITlE / TITRE
Hamiltonian geometry of fluids
ABSTRACT /R脡SUM脡听
In the '60s V. Arnold suggested a group-theoretic approach to ideal hydrodynamics via the geodesic flow of the right-invariant energy metric on the group of volume-preserving diffeomorphisms of the flow domain. We describe several recent ramifications of this approach related to compressible fluids, optimal mass transport, as well as Newton's equations on diffeomorphism groups and smooth probability densities. It turns out that various important PDEs of hydrodynamical origin can be described in this geometric framework in a natural way.
PLACE / LIEU
Hybride - CRM, Salle / Room 5340, Pavillon Andr茅 Aisenstad
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ZOOM
ORGANISATEURS / ORGANIZERS
L茅o Belzile (Universit茅 de Montr茅al)
Joel Kamnitzer (黑料不打烊 University)
Giovanni Rosso (Concordia University)
Alina Stancu (Concordia University)