### The random vortexes model and the 2D Navier-Stokes equation

**Mariani, I ***(Babes-Bolyai )*

Wednesday 12 May 2010, 16:00-17:00

Seminar Room 1, Newton Institute

#### Abstract

In two classical papers E.Caglioti, P.L.Lions, C.Marchioro, M.Pulvirenti have introduced the so called "mean-field stationary solution" to the 2D Euler equation, inspired by the vortexes model. Similarly, the random vortexes model provides an approximation of the 2D Navier-Stokes equation. By studying asymptotic features of such a model, we try to discuss the behavior of the 2D Navier-Stokes equation and the relevance of the mean-field stationary solution.