Navier-Stokes equation and diffusions on the group of homeomorphisms of the torus

Título	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Publication Type	Unpublished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

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