2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/222211We characterize the solution of Navier-Stokes equation as a stochastic geodesic on the diffeomorphisms group, thus generalizing Arnold's description of the Euler flow.Dynamical Systems37L55; 35Q30; 58E30; 58J65; 60J60; 76D05Hydrodynamics, probability and the geometry of the diffeomorphisms grouptext