Rongchan Zhu

collaborators

3 papers

math.PR2025

Large $N$ limit of the Langevin dynamics for the spin $O (N)$ model

Wenjie Ye, Rongchan Zhu

In this paper, we prove that the large $N$ limit of the Langevin dynamics for the spin $O (N)$ model is given by a mean-field stochastic differential equation (SDE) in both finite a…

math.PR2025

A proof of Onsager's conjecture for the stochastic 3D Euler equations

Huaxiang Lü, Lin Lü, Rongchan Zhu

This paper investigates the stochastic 3D Euler equations on a periodic domain $T^{3}$ , driven by a $G G^{*}$ -Wiener process $B$ of trace class: \begin{align*} \mathrm{d} u+\ma…

math.PR2024

Stationary solutions to stochastic 3D Euler equations in Hölder space

Lin Lü, Rongchan Zhu

We establish the existence of infinitely many global and stationary solutions in $C (R; C^{ϑ})$ space for some $ϑ > 0$ to the three dimensional Euler equations…

Large N limit of the Langevin dynamics for the spin O(N) model

A proof of Onsager's conjecture for the stochastic 3D Euler equations

Stationary solutions to stochastic 3D Euler equations in Hölder space

Large $N$ limit of the Langevin dynamics for the spin $O (N)$ model