Distinguished Lecture Series in Mathematics 系列数学前沿学术讲座

报告题目：The Kac model in kinetic theory Variations of the model and aspects of propagation of chaos

报告人：Prof. Bernt Wennberg

报告时间 ：2021年9月23日（周四）下午16：00-17：30

报告地点： 教二楼913

                 ZOOM URL: https://zoom.us/j/97412413730
                 Meeting ID: 974 1241 3730
                 Passcode: 321050

报告人简介：

Bernt Wennberg received his PhD in Mathematics 1993 from Chalmers University of Technology. After a two-year postdoctoral position in Paris he took a position at Chalmers, where he is full professor since 2004.

摘要：

The Kac model is a Markov jump process that was invented as a model of the Boltzmann equation. While being much simplified, it retains enough of the structure of a real particle system to help understanding for example the relation between the particle system and the limiting Boltzmann equation. Kac’s seminal paper provides a mathematically rigorous definition of chaos (or the Boltzmann property), and a rigorous proof that this property is propagated by the evolution of the jump system.

The Kac model has been studied and developed in a large number of papers, and I will review some of these variations, and related questions concerning the propagation of chaos.

举办单位：永利3044官网、交叉科学研究院

                 北京国家应用数学中心、北京成像理论与技术高精尖创新中心

                 光场成像与数字几何北京市重点实验室

联系人：杨佳