报告题目 (Title)：Uniform in Time Propagation of Chaos for Mean Field Particle System with Interacting Noise and Partially Dissipative Drifts（部分耗散且具有交互作用的扩散系数的平均场粒子系统的一致混沌传播）
报告人 (Speaker)： 黄兴 副教授（天津大学）
报告时间 (Time)：2024年9月6日 (周五) 10:00
报告地点 (Place)：腾讯会议：553-482-874会议密码：123456
邀请人(Inviter)：阳芬芬
主办部门：金沙威尼斯欢乐娱人城数学系
报告摘要：In this paper, long time quantitative propagation of chaos in L1 -Wasserstein disstance for mean field interacting particle system is derived, where the diffusion coefficient is allowed to be interacting and the drift is assumed to be partially dissipative. The main tool relies on reflection coupling, the gradient estimate of the decoupled SDEs, and the Duhamel formula for two semigroups associated to two time-inhomogeneous diffusion processes on (R^d)*N . Moreover, the long time quantitative propagation of chaos in L^η (η ∈ (0, 1))-Wasserstein distance is also obtained.
