Lagrangian Navier-Stokes diffusions on manifolds: variational principle and stability
Probability
2010-05-02 v1
Abstract
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 rotation between particles; the two-dimensional torus case is described in detail.
Cite
@article{arxiv.1004.2176,
title = {Lagrangian Navier-Stokes diffusions on manifolds: variational principle and stability},
author = {Marc Arnaudon and Ana Bela Cruzeiro},
journal= {arXiv preprint arXiv:1004.2176},
year = {2010}
}