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Differential Geometry of the Semi-Geostrophic and Euler Equations

Presented by: 
I Roulstone University of Surrey
Date: 
Friday 6th December 2013 - 09:45 to 10:30
Venue: 
INI Seminar Room 1
Abstract: 
The role of contact and symplectic geometry of the semi-geostophic (SG) equations, in describing their Legendrian and Hamiltonian properties, will be reviewed. Using the geometry of 2-forms in 4 dimensions and the geometry of 3-forms in 6 dimensions, we show that the incompressible Euler equations in 2 and 3 dimensions admit geometric structures akin to the those present in the SG equations.
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Presentation Material: 
University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons