8 citations · 39 across the 51 of their papers we have counts for
7 papers · 1 filter
Large deviations for stochastic heat equations with memory driven by Levy-type noise
Markus Riedle, Jianliang Zhai
For a heat equation with memory driven by a Lévy-type noise we establish the existence of a unique solution. The main part of the article focuses on the Freidlin-Wentzell large dev…
On Limiting Behavior of Stationary Measures for Stochastic Evolution Systems with Small Noise Intensity
Lifeng Chen, Zhao Dong, Jifa Jiang +1
The limiting behavior of stochastic evolution processes with small noise intensity is investigated in distribution-based approach. Let be stationary measure for stochasti…
Moderate deviations for stochastic models of two-dimensional second grade fluids
Jianliang Zhai, Tusheng Zhang, Wuting Zheng
In this paper, we prove a central limit theorem and estabilish a moderate deviation principle for stochastic models of incompressible second fluids. The weak convergence method inr…
Large deviation principles for 3D stochastic primitive equations
Zhao Dong, Jianliang Zhai, Rangrang Zhang
In this paper, we establish the large deviation principle for 3D stochastic primitive equations with small perturbation multiplicative noise. The proof is mainly based on the weak…
Large deviations for locally monotone stochastic partial differential equations driven by Levy noise
Jie Xiong, Jianliang Zhai
In this paper, we establish a large deviation principle for a type of stochastic partial differential equations (SPDEs) with locally monotone coefficients driven by Lévy noise. The…
The Decomposition Formula and Stationary Measures for Stochastic Lotka-Volterra Systems with Applications to Turbulent Convection
Lifeng Chen, Zhao Dong, Jifa Jiang +2
Motivated by the work of Busse et al. [6] on turbulent convection in a rotating layer, we exploit the long-run behavior for stochastic Lotka-Volterra (LV) systems both in pull-back…
Asymptotics of stochastic 2D Hydrodynamical type systems in unbounded domains
Juan Yang, Jianliang Zhai
In this paper, we prove a central limit theorem and establish a moderate deviation principle for 2D stochastic hydrodynamical type systems with multiplicative noise in unbounded do…