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Differential Geometry of the Semi-Geostrophic and Euler Equations

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If you have a question about this talk, please contact Mustapha Amrani.

Mathematics for the Fluid Earth

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.

This talk is part of the Isaac Newton Institute Seminar Series series.

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