题   目：On Landau equation with harmonic potential: Nonlinear stability of time-periodic Maxwell-Boltzmann distributions 

报告人：曹楚琦，香港理工大学

时   间：2025年7月3日（周四）上午10：00

地   点：东区第五教学楼5206教室

摘   要：In this talk, we will provide the first and rigorous confirmations of the hypotheses by Ludwig Boltzmann within the context of the Landau equation in the presence of a harmonic potential. We will show that: (i) Each  entropy-invariant solution can be identified as a  time-periodic Maxwell-Boltzmann distribution. Moreover, these distributions can be characterized by thirteen conservation laws, which sheds light on the global dynamics.  (ii) Each time-periodic Maxwell-Boltzmann distribution is nonlinearly stable. Furthermore, the convergence rate is entirely reliant on the thirteen conservation laws and is optimal when compared to the linear scenario. This talk is based on a joint work with Ling-Bing He and Jie Ji. 

报告人简介：Chuqi Cao got his PhD from Université Paris Dauphine. His research mainly focuses on kinetic theory and partial differential equations.