2 citations · 5 across the 3 of their papers we have counts for
3 papers
math.DS2022★ 1 cited
Averaging principle for stochastic complex Ginzburg-Landau equations
Mengyu Cheng, Zhenxin Liu, Michael Röckner
Averaging principle is an effective method for investigating dynamical systems with highly oscillating components. In this paper, we study three types of averaging principle for st…
math.DS2021★ 2 cited
The second Bogolyubov theorem and global averaging principle for SPDEs with monotone coefficients
Mengyu Cheng, Zhenxin Liu
In this paper, we establish the second Bogolyubov theorem and global averaging principle for stochastic partial differential equations (in short, SPDEs) with monotone coefficients.…
math.DS2019★ 2 cited
Periodic, almost periodic and almost automorphic solutions for SPDEs with monotone coefficients
Mengyu Cheng, Zhenxin Liu
In this paper, we use the variational approach to investigate recurrent properties of solutions for stochastic partial differential equations, which is in contrast to the previous…