Euler Flows as Universal Models for Dynamical Systems

Explore a one-hour mathematics lecture examining the universality properties of stationary solutions to the Euler equations, which govern inviscid and incompressible fluid flow on Riemannian manifolds. Delve into Tao's suggested approach for addressing global existence in Euler and Navier-Stokes equations through the lens of universality. Learn how Beltrami flows can be reflected as Reeb vector fields using contact mirrors, enabling the application of sophisticated geometric techniques like the h-principle in fluid dynamics. Presented as part of the Thematic Programme on "Infinite-dimensional Geometry: Theory and Applications" at the Erwin Schrödinger International Institute for Mathematics and Physics.