Applications of symplectic geometry in fluid dynamics

Abstract

We 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'Onofrio, and there will be a focus on the role of partial differential equations of Monge—Ampere type.