Mixing for the primitive equations under bounded non-degenerate noise
Analysis of PDEs
2021-03-03 v4 Probability
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 . 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.
Keywords
Cite
@article{arxiv.2010.03939,
title = {Mixing for the primitive equations under bounded non-degenerate noise},
author = {Pierre-Marie Boulvard},
journal= {arXiv preprint arXiv:2010.03939},
year = {2021}
}