汇报标题 (Title)：Uniform in Time Propagation of Chaos for Mean Field Particle System with Interacting Noise and Partially Dissipative Drifts（部门耗散且拥有交互作用的扩散系数的均匀场粒子系统的一致混沌传布）
汇报人 (Speaker)： 黄兴 副教授（天津大学）
汇报功夫 (Time)：2024年9月6日 (周五) 10:00
汇报地址 (Place)：腾讯会议：553-482-874会议密码：123456
约请人(Inviter)：阳芬芬
主办部门：理学院数学系
汇报提要：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.
