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Program on Physics of Hydrodynamic Turbulence (Jan 31 - Jun 30, 2000)
Coordinators: P. Constantin, I. Procaccia, B. Shraiman, and K. Sreenivasan

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Mini-Workshop on Mathematics and Fluids

June 2 -3, 2000

P. Constantin

Friday, June 2
9:00-9:05 P. Constantin Opening Remarks
9:05-9:45 J. Marsden
(Caltech)
Geometry and analysis of the Euler and average Euler equations[Audio]
9:45-10:25 S. Shkoller
(UC Davis)
The Nonisotropic average Euler equations[Audio]
10:25-10:40
Coffee Break
10:40-11:20 A. Okounkov
(UC Berkeley)
Increasing subsequences in random permutations, random matrices, and integrable systems[Audio]
11:20-12:00 K. Ohkitani
(RIMS, Kyoto)
Vortex structure and local helicity in turbulence[Audio]
12:30-2:00
Lunch Discussion
2:00-2:40 D. Holm
(LANL)
Alpha models of classical and superfluid turbulence[Audio]
2:40-3:20 T. Kambe
(Tokyo)
Is there a Markov length in fully developed turbulence?[Audio]
3:20-4:00 E. S. Titi
(UC Irvine)
On the connection between the viscous Camassa-Holm equations (Navier-Stokes-alpha model) and turbulence theory[Audio]
Saturday, June 3
9:00-9:40 C. Lim
(RPI)
Exact solution of a three constraints equilibrium statistical mechanics model for 2-D turbulence[Audio]
9:40-10:20 W. E
(Princeton)
Boundary layer theory and zero-viscosity limit of the Navier-Stokes equations[Audio]
10:20-11:00 D. Cordoba
(U. Chicago)
On the geometry of solutions of the Quasi-geostrophic equation[Audio]
11:00-11:20
Coffee Break
11:20-12:00 K. Khanin
(Newton Inst)
Stationary statistics for multidimensional Burgers equations[Audio]
12:00-12:05
Closing Remarks
ABSTRACTS