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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…