Mean-Field Derivation of the Space-Homogeneous Landau Equation via BBGKY Hierarchy Method
数学专题报告
报告题目(Title)：Mean-Field Derivation of the Space-Homogeneous Landau Equation via BBGKY Hierarchy Method
报告人(Speaker)：Shuchen Guo (牛津大学)
地点(Place)：后主楼1124
时间(Time)：2025年8月19日 （星期二） 10:00-11:00
邀请人(Inviter)：袁迪凡
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.
