The martingale problem for Markov solutions to the Navier-Stokes equations
Probability
2009-02-10 v1
Abstract
Under suitable assumptions of regularity and non-degeneracy on the covariance of the driving additive noise, any Markov solution to the stochastic Navier-Stokes equations has an associated generator of the diffusion and is the unique solution to the corresponding martingale problem. Some elementary examples are discussed to interpret these results.
Cite
@article{arxiv.0902.1402,
title = {The martingale problem for Markov solutions to the Navier-Stokes equations},
author = {Marco Romito},
journal= {arXiv preprint arXiv:0902.1402},
year = {2009}
}
Comments
submitted for the proceedings of the 6th Ascona conference "Stochastic analysis, random fields and applications VI"