36 citations · 110 across the 27 of their papers we have counts for
24 papers · 1 filter
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…
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…
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…
Ergodicity for stochastic conservation laws with multiplicative noise
Zhao Dong, Rangrang Zhang, Tusheng Zhang
We proved that there exists a unique invariant measure for solutions of stochastic conservation laws with Dirichlet boundary condition driven by multiplicative noise. Moreover, a p…
On the small time asymptotics of scalar stochastic conservation laws
Zhao Dong, Rangrang Zhang
In this paper, we establish a small time large deviation principles for scalar stochastic conservation laws driven by multiplicative noise. The doubling of variables method plays a…