@article { ISI:000248810200008,
	title = {Navier-stokes equation and diffusions on the group of homeomorphisms of the torus},
	journal = {COMMUNICATIONS IN MATHEMATICAL PHYSICS},
	volume = {275},
	number = {{1}},
	year = {2007},
	note = {<p>n/a</p>
},
	month = {{OCT}},
	pages = {255-269},
	publisher = {{SPRINGER}},
	type = {{Article}},
	address = {{233 SPRING ST, NEW YORK, NY 10013 USA}},
	abstract = {<p>{A stochastic variational principle for the (two dimensional) Navier-Stokes equation is established. The velocity field can be considered as a 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 L (2) norm. The method described here should hold as well in higher dimensions.}</p>
},
	issn = {{0010-3616}},
	doi = {{10.1007/s00220-007-0306-3}},
	author = {Cipriano, F. and Cruzeiro, A. B.}
}
