报告题目: Mean-Field Derivation of the Space-Homogeneous Landau Equation via BBGKY Hierarchy Method

报告人：郭书晨（牛津大学）

邀请人&主持人：黄辉

报告时间与地点：12月9号晚上8点， Zoom 会议：971 6544 9591，密码：035134

报告摘要: We consider the Kac particle system for the space-homogeneous Landau equation. For the Coulomb potential, we 

show that the Fisher information of the Liouville equation is monotonically decreasing in time. The monotonicity ensures

 the compactness to derive a weak solution of the Landau hierarchy. For hard potentials, we show that the propagation 

of exponential moments holds at the particle level. The moments bound ensures the uniqueness of weak solutions of the 

Landau hierarchy, which implies propagation of chaos.

报告人介绍：Shuchen Guo is currently a PhD student at the University of Oxford under the supervision of Prof. José 

Carrillo and Prof. Gui-Qiang Chen. His research focuses on PDE analysis and probability, especially mean-field limits 

for many-particle systems and kinetic theory. He obtained his Bachelor's degree from the University of Chinese Academy

 of Sciences (UCAS) in 2019, and his Master's degree from the Academy of Mathematics and Systems Science (AMSS, CAS) 

in 2022.