Hydrodynamics, probability and the geometry of the diffeomorphisms group
Dynamical Systems
2009-03-05 v2
Abstract
We characterize the solution of Navier-Stokes equation as a stochastic geodesic on the diffeomorphisms group, thus generalizing Arnold's description of the Euler flow.
Cite
@article{arxiv.0810.5507,
title = {Hydrodynamics, probability and the geometry of the diffeomorphisms group},
author = {Ana Bela Cruzeiro},
journal= {arXiv preprint arXiv:0810.5507},
year = {2009}
}