Large deviations for the two-dimensional stochastic Navier-Stokes equation with vanishing noise correlation

2016/03/08 by Cerrai, Sandra, Debussche, Arnaud
#FOS: Mathematics #Probability (math.PR)

paper · doi:10.48550/arxiv.1603.02527

Abstract

We are dealing with the validity of a large deviation principle for the two-dimensional Navier-Stokes equation, with periodic boundary conditions, perturbed by a Gaussian random forcing. We are here interested in the regime where both the strength of the noise and its correlation are vanishing, on a length scale \e and \d(\e), respectively, with 0

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