报告时间：2026年2月27日（周五）下午 13:30-14:30
报告地点：91国产 天赐庄校区精正楼306
报告人：屈宝友 副研究员，山东大学
报告摘要：
In this work, we present a general framework for studying McKean-Vlasov SDEs via monotone dynamical systems. Within this framework, we study the rich dynamics of one-dimensional granular media equations with attractive quadratic interactions. We show that, in the one-dimensional setting, invariant measures are totally ordered with respect to the stochastic order. The basins of attraction of the minimal and maximal invariant measures contain unbounded open sets in the 2-Wasserstein space, which is vacant in previous research even for additive noises. Also, our main results address the global convergence to the order interval enclosed by the minimal and maximal invariant measures, and an alternating arrangement of invariant measures in terms of stability (locally attracting) and instability (as the backward limit of a connecting orbit). Our theorems cover a wide range of classical granular media equations, such as double-well and multi-well landscapes. Specific values for the parameter ranges, explicit descriptions of attracting sets and phase diagrams are provided.
报告人简介：
屈宝友，山东大学副研究员。2020年博士毕业于山东大学，师从彭实戈院士，2021-2024年在杜伦大学从事博士后研究。主要研究方向包括非线性期望、倒向随机微分方程、McKean-Vlasov方程，以及随机动力系统等，已在J. Differential Equations、Nonlinearity、Electron. J. Probab.、Stochastic Process. Appl.等国际期刊发表多篇论文。
邀请人：董自康