| Title | Navier-Stokes equation and diffusions on the group of homeomorphisms of the torus |
| Publication Type | Unpublished |
| Year of Publication | 2007 |
| Authors | Cipriano F, Cruzeiro AB |
| Series Title | Preprint |
| Abstract | A stochastic variational principle for the (two dimensional) Navier-Stokes equation is established. The velocity field can be considered as generalized velocity of a diffusion process with values on the volume preserving diffeomorphism group of the underlying manifold. Navier-Stokes equation is reinterpreted as a perturbed equation of geodesics for the L2 norm. The method described here should hold as well in higher dimensions. |
| URL | http://www.dm.fct.unl.pt/sites/www.dm.fct.unl.pt/files/preprints/2007/4_07.pdf |