E, WeinanMattingly, Jonathan C2016-10-122001-11-010010-3640https://hdl.handle.net/10161/12938We study Galerkin truncations of the two-dimensional Navier-Stokes equation under degenerate, large-scale, stochastic forcing. We identify the minimal set of modes that has to be forced in order for the system to be ergodic. Our results rely heavily on the structure of the nonlinearity. © 2001 John Wiley & Sons, Inc.Journal article