Mathematics Colloquia and Seminars

Return to Colloquia & Seminar listing

Singularity formation of two fluid equations

PDE and Applied Math Seminar

Speaker: Fan Zheng, ICMAT
Location: Zoom
Start time: Thu, Nov 16 2023, 4:10PM

I will talk about two closely related blow-up results. The first is a 
non-asymptotically self-similar blow-up for the De Gregorio equation, 
using a novel mecanism that models the blow-up on a Riccati-type 
infinite system of ODEs. The second is a non-asymptotically 
self-similar blow-up for the 3D incompressible Euler equation without 
swirl, which improves on Elgindi's construction, in the sense that the 
number of singularities in the initial data is minimized.