TOD

Abstract

Intermittency has been observed in turbulent flows for more than 60 years and yet the challenge remains to show that solutions of the 3D Navier-Stokes equations generically display this phenomenon. Not un-naturally it is intimately bound up with the even longer-standing regularity problem. This talk will display some technical methods, involving ladders of higher Lp-norms of vorticity (for both the NS and Euler equations), that will give some insight into the problems involved.