Mixing for the primitive equations under bounded non-degenerate noise

2020/10/08 by Boulvard, Pierre-Marie
#Analysis of PDEs (math.AP) #FOS: Mathematics #Probability (math.PR)

paper · doi:10.48550/arxiv.2010.03939

Abstract

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.

Related

• Exponential Mixing for 3D Stochastic Primitive Equations
• Mixing for dynamical systems driven by stationary noises
• The asymptotic behavior of primitive equations with multiplicative noise
• Sharp Mixing Rates for Markov Chains on General Spaces with Unbounded Random Environments
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