26/09/2008, 14:30 — 15:30 — Room P8, Mathematics Building, IST
Evelina Shamarova, Group of Physical Mathematics, University of Lisbon
Navier-Stokes equations and forward-backward SDEs on the group of diffeomorphisms of a torus
We establish a connection between the strong solution to the spatially periodic Navier-Stokes equations and a solution to a system of forward-backward stochastic differential equations (FBSDEs) on the group of diffeomorphisms of a flat torus. We construct a representation of the strong solution to the Navier-Stokes equations in terms of diffusion processes (joint work with A. B. Cruzeiro).
