Applications of symplectic geometry in fluid dynamics

Time：2023-06-02 Fri 17:00-18:30

Venue：ZOOM: 815 4690 4797（PW: BIMSA）

Organizer：Nicolai Reshetikhin, Andrey Tsiganov, Ivan Sechin

Speaker：Ian Roulstone School of Mathematics and Physics Faculty of Engineering and Physical Sciences, University of Surrey, England

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.

DATEJune 2, 2023

Related News

0
Singularities in geophysical fluid dynamics through Monge-Ampère geometry
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...
1
BIMSA-YMSC Geometry and Dynamics Seminar | Metric geometry on Grothendieck groups in symplectic geometry
AbstractIn this talk, we will introduce a new method to carry out quantitative studies on the Grothendieck group of a derived Fukaya category. This fits into a bigger algebraic framework called triangulated persistence category (TPC). This category unites the persistence module structure (from topological data analysis) and the classical triangulated structure so that a meaningful measurement, ...