2 papers
math.DS2026
Averaging Principle and Pullback Attractor Convergence for McKean--Vlasov Stochastic Reaction--Diffusion Equations
Honglei Chen, Mengyu Cheng, Zhenxin Liu
We establish three averaging principles for distribution-dependent stochastic reaction--diffusion equations with rapidly oscillating coefficients on the torus , $d\le3…
math.DS2025
Random Attractors for McKean-Vlasov SDEs
Mengyu Cheng, Xianjin Cheng, Zhenxin Liu
In this paper, we mainly focus on the existence of random attractors for McKean-Vlasov stochastic differential equations on a separable Hilbert space . A significant challenge a…