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SUMMARY:On enstrophy dissipation in 2D turbulence - Mazzucato\, AL (Penn S
 tate)
DTSTART:20081001T103000Z
DTEND:20081001T105000Z
UID:TALK13850@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:We consider dissipation of enstrophy\, one half the integral o
 f squared vorticity\, in 2D incompressible\, turbulent flows at very high 
 Reynolds number. We prove rigorously that\, if fully developed turbulence 
 is to be modeled mathematically by irregular (weak) solutions of the 2D Eu
 ler equations in the limit of vanishing viscosity\, then there is no dissi
 pation as long as the initial enstrophy is finite. We also provide example
 s of dissipative flows when the initial enstrophy is infinite. Our analysi
 s is inspired by work of G. Eyink. This is joint work with Helena and Milt
 on Lopes.
LOCATION:Seminar Room 1\, Newton Institute
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