Large deviations principle for 2D Navier-Stokes equations with space time localised noise
Probability
2022-05-10 v1
Abstract
We consider a stochastic 2D Navier-Stokes equation in a bounded domain. The random force is assumed to be non-degenerate and periodic in time, its law has a support localised with respect to both time and space. Slightly strengthening the conditions in the pioneering work about exponential ergodicity by Shirikyan [Shi15], we prove that the stochastic system satisfies Donsker-Varadhan typle large deviations principle. Our proof is based on a criterion of [JNPS15] in which we need to verify uniform irreducibility and uniform Feller property for the related Feynman-Kac semigroup.
Cite
@article{arxiv.2205.04074,
title = {Large deviations principle for 2D Navier-Stokes equations with space time localised noise},
author = {Xuhui Peng and Lihu Xu},
journal= {arXiv preprint arXiv:2205.04074},
year = {2022}
}