Large deviations of invariant measure for the 3D stochastic hyperdissipative Navier-Stokes equations
Analysis of PDEs
2023-07-11 v1 Probability
Abstract
In this paper, we consider the large deviations of invariant measure for the 3D stochastic hyperdissipative Navier-Stokes equations driven by additive noise. The unique ergodicity of invariant measure as a preliminary result is proved using a deterministic argument by the exponential moment and exponential stability estimates. Then, the uniform large deviations is established by the uniform contraction principle. Finally, using the unique ergodicity and the uniform large deviations results, we prove the large deviations of invariant measure by verifying the Freidlin-Wentzell large deviations upper and lower bounds.
Keywords
Cite
@article{arxiv.2307.04271,
title = {Large deviations of invariant measure for the 3D stochastic hyperdissipative Navier-Stokes equations},
author = {Zhaoyang Qiu and Hui Liu and Chengfeng Sun},
journal= {arXiv preprint arXiv:2307.04271},
year = {2023}
}