Higher norms of vorticity applied to the intermittency and blow-up problems in the 3D Navier-Stokes and Euler equations
Seminar Room 2, Newton Institute Gatehouse
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.