报告题目：On the mean-field limit of Vlasov-Poisson-Fokker-Planck equations

报 告 人：Professor Li Chen, University of Mannheim

报告时间：2025年8月15日，15:00 - 16:00

报告地点：数学楼三楼研讨室5

校内联系人：段犇 [email protected]

报告摘要：In this talk I will focus on the derivation of effective descriptions for interacting many-body systems, which is an important branch of applied mathematics. We prove a propagation of chaos result for a system of N particles subject to Newtonian time evolution with or without additional white noise influencing the velocities of the particles. We assume that the particles interact according to a regularized Coulomb-interaction with a regularization parameter that vanishes in the N\to\infty limit. The respective effective description is the so-called Vlasov-Poisson-Fokker-Planck (VPFP), respectively the Vlasov-Poisson (VP) equation in the case of no or sub-dominant white noise. To obtain our result we combine the relative entropy method from Jabin and Wang (2016) with the control on the difference between the trajectories of the true and the effective description provided in Huang, Liu, and Pickl (2020 for the VPFP case respectively in Lazarovic and Pickl for the VP case. This allows us to prove strong L^1 convergence of the marginals. This talk is based on the joint work with Jinwook Jung, Peter Pickl, and Zhenfu Wang.

报告人简介：Li Chen is a professor at the University of Mannheim in Germany and has made outstanding achievements and has profound academic attainments in the field of mathematics. Li Chen obtained her Ph.D. from Jilin University in 2001. From 2001 to 2003, she did post-doctoral research at the Institute of Mathematics, Chinese Academy of Sciences. From 2003 to 2013, she worked at Tsinghua University, and since 2014, she has been a Chair Professor at the University of Mannheim in Germany. Her research direction is partial differential equations and their applications. Her main achievements have been published in many internationally renowned mathematics journals. Professor Chen Li is very active in the academic field. She has presided over several projects funded by the National Natural Science Foundation of China and is currently in charge of three projects funded by the German National Natural Science Foundation. She has also been invited to the United States, Canada, France, Italy, Austria and other countries to participate in academic conferences and give academic reports.