A stochastic variational principle for the Navier-Stokes equation on the torus
2008-01-30 14:30 2008-01-30 15:30 2008-01-30 14:30 .. 15:30
by Fernanda Cipriano (GFMUL / FCTUNL, Portugal)
A stochastic variational principle for the (deterministic) Navier-Stokes equation is established: the velocity field can be considered as a generalized velocity of a diffusion process with values in the diffeomorphism group of the underlying manifold. Navier-Stokes is therefore characterized as a perturbed equation of geodesics, as (according to V. Arnold) Euler equation can be interpreted as an equation of geodesics in the same space. (Joint work with A.B. Cruzeiro).