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math.PR2022★ 1 cited
Large deviations principle for 2D Navier-Stokes equations with space time localised noise
Xuhui Peng, Lihu Xu
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…
math.PR2022
Large deviations principle via Malliavin calculus for the Navier-Stokes system driven by a degenerate white-in-time noise
Vahagn Nersesyan, Xuhui Peng, Lihu Xu
The purpose of this paper is to establish the Donsker-Varadhan type large deviations principle (LDP) for the two-dimensional stochastic Navier-Stokes system. The main novelty is th…