16 citations · 21 across the 4 of their papers we have counts for
6 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…
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)…
Deep Random Vortex Method for Simulation and Inference of Navier-Stokes Equations
Rui Zhang, Peiyan Hu, Qi Meng +5
Navier-Stokes equations are significant partial differential equations that describe the motion of fluids such as liquids and air. Due to the importance of Navier-Stokes equations,…
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…
Approximating three-dimensional Navier-Stokes equations driven by space-time white noise
Rongchan Zhu, Xiangchan Zhu
In this paper we study approximations to 3D Navier-Stokes (NS) equation driven by space-time white noise by paracontrolled distribution proposed in [GIP13]. A solution theory for t…
Existence and uniqueness of solutions to stochastic functional differential equations in infinite dimensions
Michael Rockner, Rongchan Zhu, Xiangchan Zhu
In this paper, we present a general framework for solving stochastic functional differential equations in infinite dimensions in the sense of martingale solutions, which can be app…