Calculus of Variations and Geometric Measure Theory

Some open problems on stochastic Navier-Stokes equations

Franco Flandoli

created by magnani on 22 Mar 2006

23 mar 2006


Franco Flandoli, from Pisa University, on Thursday 23 March

in ``Sala dei Seminari'' of the Mathematics Department at 17:30 will hold a seminar on

``Some open problems on stochastic Navier-Stokes equations''

ABSTRACT: Well posedness of the deterministic 3D Navier-Stokes equations is a well known open problem. There is some hope to make progresses in the case of white noise perturbered 3D Navier-Stokes equations. The hope comes generically from the stronger results of uniqueness for finite dimensional stochastic differential equations (with respect to their deterministic counterparts), and specifically from recent results, about strictly stochastic 3D Navier-Stokes equations, on the existence of selections with continuous dependence on initial conditions. The talk will review these ideas.