Dia: Dimecres, 18 de gener de 2023
Lloc: Aula T2 (segon pis), Facultat de Matemàtiques i Informàtica, UB.
A càrrec de: Anna Florio (Université Paris Dauphine-PSL)
Títol: Universal dynamics in 3D stationary Euler flows
Resum: Understanding the dynamical complexity of an ideal fluid has motivated many research works. According to Arnold's vision, the dynamics of stationary Euler flows should be as complicated as those in celestial mechanics. In a joint work with Pierre Berger and Daniel Peralta-Salas, we recover Arnold's vision by showing the existence of a locally dense set of stationary solutions of the Euler equations in ℝ³ made up of universal vector fields. For the proof we introduce new perturbative methods in the context of Beltrami fields in order to import tools from bifurcation theory.
Last updated: Fri Jan 13 12:10:55 2023