2 citations · 3 across the 4 of their papers we have counts for
5 papers · 1 filter
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…
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…
Exponential mixing for the fractional Magneto-Hydrodynamic equations with degenerate stochastic forcing
Xuhui Peng, Jianhua Huang, Yan Zheng
We establish the existence, uniqueness and exponential attraction properties of an invariant measure for the MHD equations with degenerate stochastic forcing acting only in the mag…
Ergodicity and exponential mixing of the real Ginzburg-Landau equation with a degenerate noiss
Xuhui Peng, Jianhua Huang, Rangrang Zhang
In this paper, we establish the existence, uniqueness and attraction properties of an invariant measure for the real Ginzburg-Landau equation in the presence of a degenerate stocha…
Hörmander's hypoelliptic theorem for nonlocal operators
Zimo Hao, Xuhui Peng, Xicheng Zhang
In this paper we show the Hörmander hypoelliptic theorem for nonlocal operators by a purely probabilistic method: the Malliavin calculus. Roughly speaking, under general Hörmander'…