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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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ORGANISATEURS / ORGANIZERS
L茅o Belzile (Universit茅 de Montr茅al)
Joel Kamnitzer (香蕉视频)
Giovanni Rosso (Concordia University)
Alina Stancu (Concordia University)