5 citations · 5 across the 10 of their papers we have counts for
11 papers
Polynomial mixing for the 3D damped cubic nonlinear Schrödinger equation with degenerate noise
Rongchang Liu, Kening Lu, Lin Shi
We prove polynomial mixing for the defocusing damped cubic stochastic nonlinear Schrödinger equation on the three-dimensional torus under saturating smooth finite rank Brownian for…
Spectral gap for the three-dimensional damped cubic wave equation with degenerate noise
Rongchang Liu, Kening Lu
We establish a weighted Wasserstein spectral gap for the three-dimensional damped cubic wave equation with genuinely finite rank Brownian forcing. Under a saturation condition, the…
Unique Ergodicity for the Projective Process of the 2D Navier--Stokes Equation with Nondegenerate Noise
Zeng Lian, Rongchang Liu, Kening Lu
We prove unique ergodicity of the projective process associated with the two dimensional Navier--Stokes equation in vorticity form, with additive diagonal noise acting on every non…
Exponential mixing and Freidlin--Wentzell large deviation principle for Markov cocycles
Rongchang Liu, Kening Lu, Lin Shi +1
This paper studies the long time statistics and small noise asymptotics of Markov cocycles associated with Markov processes in random environments modeled by measure preserving dyn…
The Restricted Three-Body Problem as a Perturbed Duffing Equation
Rongchang Liu, Qiudong Wang
This paper investigates the restricted circular planar three-body problem. We prove that for every negative Jacobi constant of sufficiently large magnitude, the surface of unpertur…
Large deviations for 2D stochastic Navier-Stokes Equations driven by a periodic force and a degenerate noise
Rongchang Liu, Kening Lu
We consider the incompressible 2D Navier-Stokes equations on the torus, driven by a deterministic time periodic force and a noise that is white in time and degenerate in Fourier sp…
Global existence for the stochastic Boussinesq equations with transport noise and small rough data
Quyuan Lin, Rongchang Liu, Weinan Wang
In this paper, we consider the stochastic Boussinesq equations on with transport noise and rough initial data. We first prove the existence and uniqueness of the loca…
Exponential mixing and limit theorems of quasi-periodically forced 2D stochastic Navier-Stokes Equations in the hypoelliptic setting
Rongchang Liu, Kening Lu
We consider the incompressible 2D Navier-Stokes equations on the torus driven by a deterministic time quasi-periodic force and a noise that is white in time and degenerate in Fouri…
Statistical Properties of 2D Stochastic Navier-Stokes Equations with Time-Periodic Forcing and Degenerate Stochastic Forcing
Rongchang Liu, Kening Lu
We consider the incompressible 2D Navier-Stokes equations with periodic boundary conditions driven by a deterministic time periodic forcing and a degenerate stochastic forcing. We…
Geometric properties of minimizers in the planar three-body problem with two equal masses
Wentian Kuang, Duokui Yan
It it shown that each lobe of the figure-eight orbit is star-shaped, which implies the polar angle is monotone in each lobe. In general, it is not clear when a minimizer is star-sh…
A type of multiple integral with loggamma function
Duokui Yan, Rongchang Liu, Geng-zhe Chang
In this paper, we study the multiple integral . A general formula of $I…