Zhao Dong

Exponential Convergence for 3D Stochastic Primitive Equations of the Large Scale Ocean


In this paper, we consider the ergodicity for the three-dimensional stochastic primitive equations of the large scale oceanic motion. We prove that if the noise is at the same time sufficiently smooth and non-degenerate, then the weak solutions converge exponentially fast to equilibrium. Moreover, the uniqueness of invariant measure is stated.