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

We are dealing with the validity of a large deviation principle for the\ntwo-dimensional Navier-Stokes equation, with periodic boundary conditions,\nperturbed by a Gaussian random forcing. We are here interested in the regime\nwhere both the strength of the noise and its correlation are vanishing, on a\nlength scale $\\e$ and $\\d(\\e)$, respectively, with $0<\\e,\\ \\d(\\e)<<1$.\nDepending on the relationship between $\\e$ and $\\d(\\e)$ we will prove the\nvalidity of the large deviation principle in different functional spaces.\n