The search of finite-time singularity solutions of the Euler equations for incompressible and inviscid fluids

Speaker: Sergio Rica

Instituto de Física, Pontificia Universidad Católica de Chile

Date: June 28, 2022 at 12 Santiago time

Abstract: Despite 250 years of history, the nature of solutions of the Euler equations remains an open problem. To date, it is not known if general smooth initial conditions of the Euler equations with finite energy do or do not blow-up in finite time. I will review the approach initiated by Leray of self-similar blow-up solutions. Lastly, I will show that under some conditions an axisymmetric incompressible and inviscid flow presents a finite-time singularity. This singularity appears to be generic and robust for a wide number of finite energy initial conditions.

Venue: Online via Zoom / Sala de seminarios DIM, Beauchef 851, piso 5
Chair: Michal Kowalczyk