Level-3 large deviations for the white-forced 2D Navier-Stokes system in a bounded domain
Analysis of PDEs
2025-06-18 v1 Probability
Abstract
We study the large deviations principle (LDP) of Donsker-Varadhan type for the white-forced Navier-Stokes system in a bounded domain. Under the assumption that the noise is non-degenerate, we establish level-2 and level-3 LDPs with rate functions given by the Donsker-Varadhan formulas. The proof relies on an improved version of Kifer's criterion, a lift argument inspired from [DV83], an improved abstract result on the large-time asymptotics of generalized Markov semigroups, and a delicate approximation scheme utilizing the resolvent operators of the Markov semigroup.
Cite
@article{arxiv.2506.14119,
title = {Level-3 large deviations for the white-forced 2D Navier-Stokes system in a bounded domain},
author = {Meng Zhao},
journal= {arXiv preprint arXiv:2506.14119},
year = {2025}
}