4 citations · 6 across the 4 of their papers we have counts for
6 papers
A Smooth Autonomous Flow with Exponential Mixing on the Three-Torus
Nianci Jiang, Weili Zhang
We construct a smooth autonomous divergence-free vector field on whose flow is exponentially mixing with respect to Lebesgue measure. This answers an open question a…
Quenched correlation decay for random splittings of some prototypical 3D flows including the ABC flow
Nianci Jiang, Weili Zhang
For the long-time dynamical challenges of some prototypical 3D flows including the ABC flow on , we apply a random splitting method to establish two fundamental indic…
Exponential mixing for Hamiltonian shear flow
Weili Zhang
We consider the advection equation on with a real analytic and time-periodic velocity field that alternates between two Hamiltonian shears. Randomness is injected by…
Random periodic solutions of nonautonomous stochastic feedback systems with multiplicative noise
Zhao Dong, Weili Zhang, Zuohuan Zheng
We investigate the dynamical behavior of pull-back trajectories for nonautonomous stochastic feedback systems with multiplicative noise. We proved that there exists a random period…
Random periodic solutions of non-autonomous stochastic differential equations
Zhao Dong, Zuohuan Zheng, Weili Zhang
In this paper, we study the existence of random periodic solutions for nonlinear stochastic differential equations with additive white noise. We extend the input-to-state character…
Random Almost Periodic Solutions of Random Dynamical Systems
Weili Zhang, Zuo-Huan Zheng
In this paper, we first give the definition of random almost periodic solutions of random dynamical systems and give some examples. Then, we prove the existence of such random almo…