22 citations · 25 across the 4 of their papers we have counts for
4 papers
Slow foliation of a slow-fast stochastic evolutionary system
Guanggan Chen, Jinqiao Duan, Jian Zhang
This work is concerned with the dynamics of a slow-fast stochastic evolutionary system quantified with a scale parameter. An invariant foliation decomposes the state space into geo…
Approximating dynamics of a singularly perturbed stochastic wave equation with a random dynamical boundary condition
Guanggan Chen, Jinqiao Duan, Jian Zhang
This work is concerned with a singularly perturbed stochastic nonlinear wave equation with a random dynamical boundary condition. A splitting skill is used to derive the approximat…
Effective dynamics of stochastic wave equation with a random dynamical boundary condition
Guanggan Chen, Jinqiao Duan, Jian Zhang
This work is devoted to the effective macroscopic dynamics of a weakly damped stochastic nonlinear wave equation with a random dynamical boundary condition. The white noises are ta…
Geometric shape of invariant manifolds for a class of stochastic partial differential equations
Guanggan Chen, Jinqiao Duan, Jian Zhang
Invariant manifolds play an important role in the study of the qualitative dynamical behaviors for nonlinear stochastic partial differential equations. However, the geometric shape…