2 citations · 6 across the 15 of their papers we have counts for
15 papers
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…
Well-posedness of Stochastic 2D Hydrodynamics type Systems with Multiplicative Lévy Noises
Xuhui Peng, Juan Yang, Jianliang Zhai
We establish the existence and uniqueness of solutions to an abstract nonlinear equation driven by a multiplicative noise of Lévy type, which covers many hydrodynamical models incl…
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…
The average genus for bouquets of circles and dipoles
Jinlian Zhang, Xuhui Peng, Yichao Chen
The bouquet of circles and dipole graph are two important classes of graphs in topological graph theory. For , we give an explicit formula for the average genu…
Limits for embedding distributions
Jinlian Zhang, Xuhui Peng, Yichao Chen
In this paper, we find and prove that, under some conditions, the embedding distributions of -linear graph families with spiders are asymptotic normal distributions. It can been…
Well-posedness and large deviations for 2-D Stochastic Navier-Stokes equations with jumps
Zdzislaw Brzezniak, Xuhui Peng, Jianliang Zhai
The aim of this paper is threefold. Firstly, we prove the existence and the uniqueness of a global strong (in both the probabilistic and the PDE senses) -valued s…
Euler-genus distributions of cubic Halin graphs
Jinlian Zhang, Xuhui Peng
Gross derived an -time algorithm to calculate the genus distribution of a given cubic Halin graph. In this paper, with the help of overlap matrix, we get a recurrence relat…
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'…
Splitting up method for 2D stochastic primitive equations with multiplicative noise
Xuhui Peng, Rangrang Zhang
This paper concerns the convergence of an iterative scheme for 2D stochastic primitive equations on a bounded domain. The stochastic system is split into two equations: a determini…
Exponential Mixing for SDEs under the total variation
Xuhui Peng, Rangrang Zhang
First, we establish an abstract ergodic result on $\mR^d$. Classical ergodic results on $\mR^d$ require that the process is irreducible, we weaken it to some weak form of irreducib…
Strong Feller properties for degenerate SDEs with jumps
Zhao Dong, Xuhui Peng, Yulin Song +1
Under full Hörmander's conditions, we prove the strong Feller property of the semigroup determined by an SDE driven by additive subordinate Brownian motion, where the drift is allo…
Malliavin Matrix of Degenerate SDE and Gradient Estimate
Dong Zhao, Xuhui Peng
In this paper, we prove that the inverse of Malliavin matrix is p integrable for a kind of degenerate stochastic differential equation under some conditions, which like to Hormande…
Ergodicity of the 2D Navier-Stokes Equations with Degenerate Multiplicative Noise
Zhao Dong, Xuhui Peng
Consider the two-dimensional, incompressible Navier-Stokes equations on the torus We prove that the semigroup P_t generated by the solutions to stochastic Navier-stokes equations i…