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Ergodicity for the Dissipative Boussinesq Equations with Random Forcing |
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| Authors: | Jihoon Lee Ming-Yih Wu |
| Affiliation: | (1) Department of Mathematics, Sungkyunkwan University, 440–746 Suwon, Korea;(2) Department of Mathematics, Princeton University, Princeton, NJ, 08544 |
| Abstract: | We study the stationary measure for the two-dimensional Boussinesq equation with random forcing. We prove the ergodicity for the two-dimensional stochastically forced Boussinesq equation. We also study the Galerkin truncations of the three-dimensional Boussinesq equations under degenerate stochastic forcing. We follow closely the previous results on the stochastically forced Navier–Stokes equations. |
| Keywords: | Boussinesq equations stochastic equations ergodicity invariant measure |
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