Ergodicity of the 2D Navier–Stokes equations with degenerate stochastic forcing
Ergodicity of the 2D Navier–Stokes equations with degenerate stochastic forcing
The stochastic 2D Navier-Stokes equations on the torus driven by degenerate noise are studied.We characterize the smallest closed invariant subspace for this model and show that the dynamics restricted to that subspace is ergodic.In particular, our results yield a purely geometric characterization of a class of noises for which the …