37 citations · 222 across the 52 of their papers we have counts for
5 papers · 1 filter
Global-in-time probabilistically strong solutions to stochastic power-law equations: existence and non-uniqueness
Huaxiang Lü, Xiangchan Zhu
We are concerned with the power-law fluids driven by an additive stochastic forcing in dimension . For the power index , we establish existence of…
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…
Non-unique ergodicity for deterministic and stochastic 3D Navier--Stokes and Euler equations
Martina Hofmanová, Rongchan Zhu, Xiangchan Zhu
We establish the existence of infinitely many stationary solutions, as well as ergodic stationary solutions, to the three dimensional Navier--Stokes and Euler equations in both det…
A class of supercritical/critical singular stochastic PDEs: existence, non-uniqueness, non-Gaussianity, non-unique ergodicity
Martina Hofmanova, Rongchan Zhu, Xiangchan Zhu
We study the surface quasi-geostrophic equation with an irregular spatial perturbation on $…
A stochastic analysis approach to lattice Yang--Mills at strong coupling
Hao Shen, Rongchan Zhu, Xiangchan Zhu
We develop a new stochastic analysis approach to the lattice Yang--Mills model at strong coupling in any dimension , with t' Hooft scaling for the inverse coupling streng…