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Higher norms of vorticity applied to the intermittency and blow-up problems in the 3D Navier-Stokes and Euler equations

Thursday 2nd August 2012 - 11:30 to 12:30
INI Seminar Room 2
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.
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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons