2 citations · 2 across the 3 of their papers we have counts for
4 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…
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…
Pullback measure attractors and limiting behaviors of McKean-Vlasov stochastic delay lattice systems
Lin Shi, Jun Shen, Kening Lu
We study the long-term behavior of the distribution of the solution process to the non-autonomous McKean-Vlasov stochastic delay lattice system defined on the integer set $\mathbb{…
Invariant measures, periodic measures and pullback measure attractors of McKean-Vlasov stochastic reaction-diffusion equations on unbounded domains
Lin Shi, Jun Shen, Kening Lu +1
This paper deals with the long term dynamics of the non-autonomous McKean-Vlasov stochastic reaction-diffusion equations on R^n. We first prove the existence and uniqueness of pull…