Modul:   MAT673  Seminar PDE and Mathematical Physics

Regularity, blow up, and small scale creation in fluids

Talk by Prof. Dr. Alex Kiselev

Speaker invited by: Prof. Dr. Camillo De Lellis

Date: 19.05.14  Time: 17.15 - 19.00  Room: Y27H25

The Euler equation of fluid mechanics describes a flow of inviscid and incompressible fluid, and has been first written in 1755. The equation is both nonlinear and nonlocal, and its solutions often create small scales easily and tend to be unstable. I will review some of the background, and then discuss a recent sharp result on small scale creation in solutions of the 2D Euler equation. I will also indicate links to the long open question of finite time blow up for solutions of the 3D Euler equation.