Title	Beyond Arnoldâ s geodesic framework of an ideal hydrodynamics
Creator	Khesin, Boris
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2018-12-10T09:05
Description	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.)
Extent	38.0
Subject	Mathematics; Calculus of variations and optimal control; optimization; Differential geometry
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: University of Toronto
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2019-06-09
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0379363
URI	http://hdl.handle.net/2429/70579
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Faculty
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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