On determining functionals for stochastic Navier-Stokes equations

We prove the existence of a wide collection of finite sets of functionals that completely determine the long-time behaviour of solutions to 2D Navier-Stokes equations with random initial data and excited by additive white noise. This collection contains finite sets of determining modes, nodes and local volume averages. We also show that determining functionals can be defined on one of the components of the velocity vector only