报告题目：Quantitative convergence in relative entropy for a moderately interacting particle system on $\R^d$

报告人：陈丽

报告时间：2023年12月20日（周三）15:00开始

报告地点：腾讯会议（807-874-434）

报告摘要：In this talk, I will show how to combine the relative entropy method introduced by Jabin and Wang and the regularized $L^2(\R^d)$-estimate given by Oeschläger to prove a strong propagation of chaos result for the viscous porous medium equation from a moderately interacting particle system in $L^\infty(0,T; L^1(\R^d))$-norm. In the moderate interacting setting, the interacting potential is a smoothed Dirac Delta distribution, however, current results regarding the relative entropy methods for singular potentials do not apply. The result holds on $\R^d$ for any dimension $d\geq 1$ and provides a quantitative result where the rate of convergence depends on the moderate scaling parameter and the dimension $d\geq 1$. This is a joint work with Alexandra Holzinger and Xiaokai Huo.

报告人简介：陈丽，教授，2001年吉林大学取得博士学位，2003至2013在清华大学任教，2014年至今德国曼海姆大学讲座教授。研究方向是偏微分方程及应用，具体研究兴趣集中在反应扩散及交叉扩散方程组，多粒子系统的平均场极限及动力学模型，量子力学中的物质稳定性问题等。在《Comm. Partial Differential Equations》《SIAM J. Math. Anal.》《J. Stat. Phys.Phys.》《J. Differential Equations》等杂志发表SCI收录学术论文80余篇。曾被应邀到美国、加拿大、法国、意大利、奥地利等国家参加学术会议并做学术报告20余次。