Exponential ergodicity for stochastic Burgers and 2D Navier–Stokes equations

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Ergodicity Results for the Stochastic Navier–Stokes Equations: An Introduction (2013, methodology): “Then, these arguments were generalized in several directions and the theory was extended to many other equations (see for instance [23], [35], [37], [43], [41], [44], [45] , [46], [56], [57], [63]).”
Spectral gaps in Wasserstein distances and the 2D stochastic Navier–Stokes equations (2006, background): “This norm can still be used in the infinite-dimensional setting provided that the driving noise is sufficiently nondegenerate; see, for example, [9] for a general theory and [19] for a recent ergodicity result on the stochastic twodimensional Navier–Stokes equation.”