5 citations · 5 across the 10 of their papers we have counts for
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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…
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…
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…
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…