Mathematics Colloquium
Klas Modin
Chalmers University of Technology
Title: Two-dimensional incompressible inviscid hydrodynamics: old questions and new insights
Date: Friday, February 12, 2021
Place and Time: Zoom, 3:05-3:55 pm
Abstract. I will discuss an old problem: the long-time behaviour of solutions to the incompressible Euler equations on a two-dimensional surface (I focus on the sphere, important in geophysical applications). Applying quantization theory to the problem, as first suggested by Vladimir Zeitlin, leads to new insights, particularly connections between low-dimensional integrable systems and the formation of coherent vortex structures in the long-time behaviour of the fluid. The concepts are illustrated by colourful numerical simulations.