2 papers
math.PR2010★ 1 cited
Lagrangian Navier-Stokes diffusions on manifolds: variational principle and stability
Marc Arnaudon, Ana Bela Cruzeiro
We prove a variational principle for stochastic Lagrangian Navier-Stokes trajectories on manifolds. We study the behaviour of such trajectories concerning stability as well as rota…
math.DS2008
Hydrodynamics, probability and the geometry of the diffeomorphisms group
Ana Bela Cruzeiro
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.