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Lie groupoids and vortex sheets Izosimov, Anton
Description
In 1966, V.Arnold suggested a group-theoretic framework for ideal hydrodynamics. In this approach, the motion of an incompressible fluid on a Riemannian manifold is described as the geodesic flow of a right-invariant metric on the group of volume-preserving diffeomorphisms. In my talk, I will review Arnold's picture and show how it can be extended to incorporate certain discontionus fluid motions, known as vortex sheets. This is done by replacing groups and algebras in Arnold's approach by certain groupoids and algebroids. This is joint work with B.Khesin.
Item Metadata
Title |
Lie groupoids and vortex sheets
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Creator | |
Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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Date Issued |
2016-06-16T09:09
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Description |
In 1966, V.Arnold suggested a group-theoretic framework for ideal
hydrodynamics. In this approach, the motion of an incompressible fluid on
a Riemannian manifold is described as the geodesic flow of a
right-invariant metric on the group of volume-preserving diffeomorphisms.
In my talk, I will review Arnold's picture and show how it can be extended
to incorporate certain discontionus fluid motions, known as vortex sheets.
This is done by replacing groups and algebras in Arnold's approach by
certain groupoids and algebroids.
This is joint work with B.Khesin.
|
Extent |
33 minutes
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Subject | |
Type | |
File Format |
video/mp4
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Language |
eng
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Notes |
Author affiliation: University of Toronto
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Series | |
Date Available |
2017-01-29
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Provider |
Vancouver : University of British Columbia Library
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Rights |
Attribution-NonCommercial-NoDerivatives 4.0 International
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DOI |
10.14288/1.0340381
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URI | |
Affiliation | |
Peer Review Status |
Unreviewed
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Scholarly Level |
Postdoctoral
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Rights URI | |
Aggregated Source Repository |
DSpace
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Item Media
Item Citations and Data
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International