主講人：陳麗 德國(guó)曼海姆大學(xué)講座教授

時(shí)間：2025年6月27日10：00

地點(diǎn)：三號(hào)樓332室

舉辦單位：數(shù)理學(xué)院

主講人介紹：陳麗，教授，2001年吉林大學(xué)取得博士學(xué)位，2003至2013在清華大學(xué)任教，2014年至今德國(guó)曼海姆大學(xué)講座教授。研究方向是偏微分方程及應(yīng)用，具體研究興趣集中在反應(yīng)擴(kuò)散及交叉擴(kuò)散方程組，多粒子系統(tǒng)的平均場(chǎng)極限及動(dòng)力學(xué)模型，量子力學(xué)中的物質(zhì)穩(wěn)定性問(wèn)題等。在《Comm. Partial Differential Equations》《SIAM J. Math. Anal.》《J. Stat. Phys.Phys.》《J. Differential Equations》等雜志發(fā)表SCI收錄學(xué)術(shù)論文80余篇。曾被應(yīng)邀到美國(guó)、加拿大、法國(guó)、意大利、奧地利等國(guó)家參加學(xué)術(shù)會(huì)議并做學(xué)術(shù)報(bào)告20余次。

內(nèi)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.