Mathematics Department Colloquium: A theory of hydrodynamic turbulence based on nonequilibrium statistical mechanics

Colloquium | May 2 | 4:10-5 p.m. | 60 Evans Hall

 David Ruelle, IHES

 Department of Mathematics

I shall cover some well-known facts about hydrodynamic turbulence, and present a physically coherent view of intermittency in the energy cascade as a cascade of eddies governed by ideas of statistical mechanics. The approach presented is close to the ideas of Kolmogorov but gives a satisfactory estimate of the intermittency exponents and of the Reynolds number at the onset of turbulence. I shall also indicate why the Kolmogorov-Obukhov does not work.