Previous Special Year Seminar

Nov
23
2021

Seminar in Analysis and Geometry

On Arnold's formula for the second variation of energy on orbits of 2d vorticities
Vladimír Sverák
2:00pm|Simonyi Hall 101 and Remote Access

We consider variational principles related to V. I. Arnold's stability criteria for steady-state solutions of the two-dimensional incompressible Euler equation. Our goal is to investigate under which conditions the quadratic forms defined by the...

Nov
18
2021

Discussions in Analysis and Geometry

Reading seminar on the papers of Tao on universality of the Euler equations
Francisco Mengual
2:00pm|Simonyi Hall 101 and Remote Access
We'll go through Tao's "On the universality of the incompressible Euler equation on compact manifolds, II. Non-rigidity of Euler flows".
Nov
11
2021

Discussions in Analysis and Geometry

Reading seminar on the papers of Tao on universality of the Euler equations
Cédric De Groote
2:00pm|Simonyi Hall 101 and Remote Access
We'll go through Tao's "On the universality of the incompressible Euler equation on compact manifolds".
Nov
09
2021

Seminar in Analysis and Geometry

3D Navier-Stokes equations: the dynamics of a blow-up
Alexey P Cheskidov
2:00pm|Simonyi Hall 101 and Remote Access

I will present an elementary introduction to the regularity/uniqueness issues for the Navier-Stokes equations. Thanks to the convex integration technique, the h-principle is starting to take shape for the uniqueness problem. It might be possible...