Dia: Dimecres 19 de març de 2025
Lloc: Aula T2 (segon pis), Facultat de Matemàtiques i Informàtica, UB.
A càrrec de: Willi Kepplinger, University of Vienna
Títol: Isolated steady solutions of the 3D Euler equations
Resum: In a recent collaboration with Alberto Enciso and Daniel Peralta-Salas we proved that there exist closed three-dimensional Riemannian manifolds where the incompressible Euler equations exhibit smooth steady solutions that are isolated in the 𝒞1-topology. The proof decomposes into a computational part with some input from dynamical systems, and a rather delicate spectral geometric argument. In this talk I will aim to give a more or less complete proof of our result without assuming much background knowledge in either the rich world of stationary) Euler equations or the intimidating literature on spectral geometry.
Last updated: Sun Mar 16 23:20:09 2025