most citedInvariant measures, periodic measures and pullback measure attractors of McKean-Vlasov stochastic reaction-diffusion equations on unbounded domains

2 citations · 2 across the 3 of their papers we have counts for

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math.PR2026

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…

math.PR2026

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…

math.PR2024★ 2 cited

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…