Large deviations for the two-dimensional stochastic Navier-Stokes equation with vanishing noise correlation
Probability
2016-03-09 v1
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 and , respectively, with . Depending on the relationship between and we will prove the validity of the large deviation principle in different functional spaces.
Cite
@article{arxiv.1603.02527,
title = {Large deviations for the two-dimensional stochastic Navier-Stokes equation with vanishing noise correlation},
author = {Sandra Cerrai and Arnaud Debussche},
journal= {arXiv preprint arXiv:1603.02527},
year = {2016}
}