主講人：陳麗 德國曼海姆大學講座教授

時間：2025年6月27日10：00

地點：三號樓332室

舉辦單位：數理學院

主講人介紹：陳麗，教授，2001年吉林大學取得博士學位，2003至2013在清華大學任教，2014年至今德國曼海姆大學講座教授。研究方向是偏微分方程及應用，具體研究興趣集中在反應擴散及交叉擴散方程組，多粒子系統的平均場極限及動力學模型，量子力學中的物質穩定性問題等。在《Comm. Partial Differential Equations》《SIAM J. Math. Anal.》《J. Stat. Phys.Phys.》《J. Differential Equations》等雜志發表SCI收錄學術論文80余篇。曾被應邀到美國、加拿大、法國、意大利、奧地利等國家參加學術會議并做學術報告20余次。

內容介紹：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.