论文标题
在有限的非分类噪声下混合原始方程
Mixing for the primitive equations under bounded non-degenerate noise
论文作者
论文摘要
我们研究了大气力学的随机3D原始方程。我们将它们视为有限和非分类噪声，该噪声在统计上是定期定期的，周期为$ 1 $。在这种情况下，我们证明了相关的整数马尔可夫链正在混合，这意味着存在一种独特的固定度量，该度量将此马尔可夫链的所有轨迹收敛。
We study the stochastic 3D primitive equations of the atmospheric mechanics. We consider them under a bounded and non-degenerate noise, which is statistically periodic in time with period $1$. In such a case we prove that the associated integer-time Markov chain is mixing, which means that there exists a unique stationary measure to which converge the laws all trajectories of this Markov chain.
