The martingale problem for Markov solutions to the Navier-Stokes equations
Abstract
Description
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.
submitted for the proceedings of the 6th Ascona conference "Stochastic analysis, random fields and applications VI"
submitted for the proceedings of the 6th Ascona conference "Stochastic analysis, random fields and applications VI"