16 citations · 23 across the 8 of their papers we have counts for
8 papers
Global well-posedness for 2D generalized Parabolic Anderson Model via paracontrolled calculus
Hao Shen, Rongchan Zhu, Xiangchan Zhu
This article revisits the problem of global well-posedness for the generalized parabolic Anderson model on within the framework of paracontrolled…
Non-unique Ergodicity for the 2D Stochastic Navier-Stokes Equations with Derivative of Space-Time White Noise
Huaxiang Lü, Xiangchan Zhu
We prove existence of infinitely many stationary solutions as well as ergodic stationary solutions for the stochastic Navier-Stokes equations on \begin{align*} \dif…
Surface quasi-geostrophic equation perturbed by derivatives of space-time white noise
Martina Hofmanová, Xiaoyutao Luo, Rongchan Zhu +1
We consider a family of singular surface quasi-geostrophic equations on $[0,\infty)…
Sharp Non-uniqueness of Solutions to 2D Navier-Stokes Equations with Space-Time White Noise
Huaxiang Lü, Xiangchan Zhu
In this paper we are concerned with the 2D incompressible Navier-Stokes equations driven by space-time white noise. We establish existence of infinitely many global-in-time probabi…
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…
Global existence and non-uniqueness for 3D Navier--Stokes equations with space-time white noise
Martina Hofmanová, Rongchan Zhu, Xiangchan Zhu
We establish global-in-time existence and non-uniqueness of probabilistically strong solutions to the three dimensional Navier--Stokes system driven by space-time white noise. In t…