报告题目：Nonlinear Functional Approach I: From hyperbolic balance laws to kinetic equations

报 告 人：Seung-Yeal Ha 教授 首尔国立大学

报告时间：2024年7月22日（星期一）9:30-10:30

报告地点：数学楼114（小报告厅）

校内联系人：董久刚 教授      联系电话：84708354

报告摘要： We present a unifying theme of uniform-in-time stability from hyperbolic balance laws to kinetic equations using the nonlinear functional approach. Nonlinear functional approach was first introduced by James Glimm’s 1965 work on the Cauchy problem of hyperbolic conservation laws and it was further improved and generalized by Tai-Ping Liu, Tong Yang, Alberto Bressan, Stephano Bianchini and others on the uniform-in-time L^1-stability of entropy weak solutions generated by the Glimm scheme and front-tracking scheme and vanishing viscosity limit problem from viscous conservation laws to hyperbolic conservation laws. In this talk, we will discuss how this nonlinear functional approach can be used in the uniform stability of kinetic equations such as the Boltzmann equation and the Vlasov type equations near vacuum

报告人简介：Seung-Yeal Ha，首尔国立大学数学系教授，韩国科学与工程院院士，韩国科学奖、青年科学奖、KSIAM-Kumkok奖的获得者，国际数学家大会45分钟报告人。主要研究方向为双曲守恒律，气体动力学理论，多智能体系统的群体行为。