We 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.
|Original language||English (US)|
|Number of pages||17|
|Journal||Communications on Pure and Applied Mathematics|
|State||Published - Nov 2001|
All Science Journal Classification (ASJC) codes
- Applied Mathematics