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math.PR2022★ 2 cited
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…
math.PR2022★ 3 cited
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…
math.DS2022
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…