4 papers
Polynomial mixing for infinite-energy solutions of the white-forced Navier--Stokes equation in an infinite pipe
Meng Zhao
We study the long-time behavior of the infinite-energy solutions to the white-forced Navier--Stokes equation in an infinite pipe with no-slip boundary con…
Exponential mixing for the white-forced complex Ginzburg--Landau equation in the whole space
Vahagn Nersesyan, Meng Zhao
In the last two decades, there has been a significant progress in the understanding of ergodic properties of white-forced dissipative PDEs. The previous studies mostly focus on equ…
Data-driven probability density forecast for stochastic dynamical systems
Meng Zhao, Lijian Jiang
In this paper, a data-driven nonparametric approach is presented for forecasting the probability density evolution of stochastic dynamical systems. The method is based on stochasti…
Online multiscale model reduction for nonlinear stochastic PDEs with multiplicative noise
Lijian Jiang, Mengnan Li, Meng Zhao
In this paper, an online multiscale model reduction method is presented for stochastic partial differential equations (SPDEs) with multiplicative noise, where the diffusion coeffic…