报告题目：Quartic dissipation of kinetic equations with applications to stability of contact waves for soft potentials
报告人：Prof. Renjun Duan（段仁军），The Chinese University of Hong Kong（香港中文大学）
邀请人：熊林杰
时间：11月10日14:00-15：00（北京时间）
腾讯会议：136 567 599（无密码）
摘要：For perturbation solutions to kinetic equations near Maxwellians, we introduce a weighted energy functional whose dissipation rate is quartic and we use it for treating the large-velocity growth in the nonlinear estimates due to degeneration of the linearized collision operators for soft potentials. As an application, I will talk about the stability of contact waves for the Landau equation in the Coulomb case.
报告人简介：Renjun Duan is currently an associate professor of Department of Mathematics at the Chinese University of Hong Kong. He obtained the PhD degree in mathematics at City Uni- versity of Hong Kong in 2008 under the supervision of Professor Tong Yang. After graduation, he had the postdoc research for two years in RICAM, Austrian Academy of Sciences. He has been affiliated with the Chinese University of Hong Kong since 2010. He received the Zhong Jiaqing Mathematics Award in 2007 and the Hong Kong Mathematical Society Outstanding Young Scholars Award in 2020. His research interest has been mainly focused on the mathe- matical analysis of the Boltzmann equation in kinetic theory as well as related fluid dynamic equations and his research results have been published in journals including Comm. Pure Appl. Math., Adv. Math., Comm. Math. Phys., and Arch. Ration. Mech. Anal. He is an editorial board member of two journals “Discrete & Continuous Dynamical Systems - B” and “Nonlinear Analysis: Real World Applications”.
