157 citations · 543 across the 21 of their papers we have counts for
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Averaging principle of stochastic Burgers equation driven by Lévy processes
Hongge Yue, Yong Xu, Ruifang Wang +1
We are concerned about the averaging principle for the stochastic Burgers equation with slow-fast time scale. This slow-fast system is driven by Lévy processes. Under some appropri…
Averaging principle for fast-slow system driven by mixed fractional Brownian rough path
Bin Pei, Yuzuru Inahama, Yong Xu
This paper is devoted to studying the averaging principle for fast-slow system of rough differential equations driven by mixed fractional Brownian rough path. The fast component is…
Strong averaging principles for a class of non-autonomous slow-fast systems of SPDEs with polynomial growth
Ruifang Wang, Yong Xu
In this work, we study a class of non-autonomous two-time-scale stochastic reaction-diffusion equations driven by Poisson random measures, in which the coefficients satisfy the pol…
Stochastic averaging for the non-autonomous mixed stochastic differential equations with locally Lipschitz coefficients
Ruifang Wang, Yong Xu, Hongge Yue
This paper investigates a non-autonomous slow-fast system, which is generalized by stochastic differential equations (SDEs) with locally Lipschitz coefficients, subjected to standa…
The central limit theorem for slow-fast systems with Lévy noise
Xiaoyu Yang, Yong Xu, Ruifang Wang +1
We consider a slow-fast stochastic differential system with Lévy noise. We will employ the perturbed test function method to study the normal deviation of the slow-fast system. Our…
Stochastic averaging for non-Lipschitz multi-valued stochastic differential equations driven by G-Brownian motion
Min Han, Bin Pei
In this paper, we prove the validity of an averaging principle for multi-valued stochastic differential equations (MSDEs) driven by G-Brownian motion with non-Lipschitz coefficient…
Pathwise unique solutions and stochastic averaging for mixed stochastic partial differential equations driven by fractional Brownian motion and Brownian motion
Bin Pei, Yuzuru Inahama, Yong Xu
This paper is devoted to a system of stochastic partial differential equations (SPDEs) that have a slow component driven by fractional Brownian motion (fBm) with the Hurst paramete…