12 citations · 59 across the 32 of their papers we have counts for
5 papers · 1 filter
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…
Singular kinetic equations and applications
Zimo Hao, Xicheng Zhang, Rongchan Zhu +1
In this paper we study singular kinetic equations on by the paracontrolled distribution method introduced in \cite{GIP15}. We first develop paracontrolled calculu…
An SPDE approach to perturbation theory of : asymptoticity and short distance behavior
Hao Shen, Rongchan Zhu, Xiangchan Zhu
In this paper we study the perturbation theory of model on the whole plane via stochastic quantization. We use integration by parts formula (i.e. Dyson-Schwinger equations)…
Global-in-time probabilistically strong and Markov solutions to stochastic 3D Navier--Stokes equations: existence and non-uniqueness
Martina Hofmanová, Rongchan Zhu, Xiangchan Zhu
We are concerned with the three dimensional incompressible Navier--Stokes equations driven by an additive stochastic forcing of trace class. First, for every divergence free initia…
Large limit of the linear sigma model in 3D
Hao Shen, Rongchan Zhu, Xiangchan Zhu
In this paper we study the large N limit of the -invariant linear sigma model, which is a vector-valued generalization of the quantum field theory, on the three dimensi…