Special Session 16: 

2D Euler equations with random initial conditions

Franco Flandoli
Scuola Normale Superiore of Pisa
Italy
Co-Author(s):    
Abstract:
S. Albeverio and coworkers, including A.B. Cruzeiro, initiated long time ago the investigation of stochastic solutions of 2D Euler equations, having Gaussian properties. Stationary inverse cascade turbulence has almost Gaussian statistics and the previous model could be an idealization of this particular turbulent regime. We add results to the previous investigations of this model in several directions including: i) point vortex approximation; ii) probabilistic analysis of regions of high vorticity intensity.