The martingale problem for Markov solutions to the Navier-Stokes equations

Details The martingale problem for Markov solutions to the Navier-Stokes equations The martingale problem for Markov solutions to the Navier-Stokes equations

2009-02-09

arxiv.org/abs/0902.1402v1

Mathematics

Probability

submitted for the proceedings of the 6th Ascona conference "Stochastic analysis, random fields and applications VI"

Scientific paper

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.

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