AbstractWe present a brief history of the application of methods from symplectic geometry to fluid dynamics, and to geophysical systems in particular. The material will cover both analytical and numerical applications, and emphasize the importance of geometric concepts in operational weather prediction models. This seminar relates to others given recently in this series by Rubtsov and by D'Onof...
AbstractThe semigeostrophic equations are a mathematical model representing atmospheric motion on a subcontinental scale. Their remarkable mathematical features enable the equations to model singular behaviours like weather fronts. This talk presents a new approach to classifying these singular structures using the geometry of Monge-Ampère equations. In the geometrical view, solutions are under...
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