Large deviation principle for a stochastic Navier–Stokes equation in its vorticity form for a two-dimensional incompressible flow

(Communicated by Sergey Lototsky) Abstract. We derive a large deviation principle for a stochastic Navier-Stokes equation for the vorticity of a two-dimensional fluid when the magnitude of the random term tends to zero. The key is the verification of the exponential tightness for the stochastic vorticity. 1. Introduction. Centra