36 citations · 110 across the 27 of their papers we have counts for
27 papers
Sharp non-uniqueness of solutions to stochastic Navier-Stokes equations
Weiquan Chen, Zhao Dong, Xiangchan Zhu
In this paper we establish a sharp non-uniqueness result for stochastic -dimensional () incompressible Navier-Stokes equations. First, for every divergence free initial…
Dissipation enhancement by transport noise for stochastic -Laplace equations
Zhao Dong, Dejun Luo, Bin Tang
The stochastic -Laplace equation with multiplicative transport noise is studied on the torus . It is shown that the dissipation is enhanced by transport…
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…
Global well-posedness and regularity of 3D Burgers equation with multiplicative noise
Zhao Dong, Boling Guo, Jiang-Lun Wu +1
In this paper, we develop low regularity theory for 3D Burgers equation perturbed by a linear multiplicative stochastic force. This method is new and essentially different from the…
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…
Large time behavior of strong solutions for stochastic Burgers equation
Zhao Dong, Feimin Huang, Houqi Su
We consider the large time behavior of strong solutions to a kind of stochastic Burgers equation, where the position x is perturbed by a Brownian noise. It is well known that both…