Seminar series
Date
Mon, 29 Jan 2007
14:15
14:15
Location
DH 3rd floor SR
Speaker
Prof Ana Bela Cruzeiro
Organisation
University of Lisbon
We follow Arnold's approach of Euler equation as a geodesic on the group of
diffeomorphisms. We construct a geometrical Brownian motion on this group in the
case of the two dimensional torus, and prove the global existence of a
stochastic perturbation of Euler equation (joint work with F. Flandoli and P.
Malliavin).
Other diffusions allow us to obtain the deterministic Navier-Stokes equation
as a solution of a variational problem (joint work with F. Cipriano).