2 papers
math.DS2024
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{…
math.PR2024
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…