研讨班报告

调和分析和偏微分方程研讨班:Long time derivation of Boltzmann equation from hard sphere dynamics

发布时间:2024-12-02
 

中国科学院数学与系统科学研究院

数学研究所

调和分析及其应用研究中心

学术报告

调和分析和偏微分方程研讨班


Speaker: Professor Yu DengUniversity of Chicago

Title: Lecture 1:  Long time derivation of Boltzmann equation from hard sphere dynamics: overview  and the main results

Time&Venue: 2024123日(星期9:00-10:00 & ZOOM会议号:725 329 7593 密码:mcm1234

Abstract: The first lecture will be an overview of the background and the main results.

 

Title: Lecture 2:  Long time derivation of Boltzmann equation from hard sphere dynamics: a time layering argument and a cumulant ansatz

Time&Venue: 2024129日(星期9:00-10:00 & ZOOM会议号:725 329 7593 密码:mcm1234

Abstract: The second lecture will be discussed on the first two main ingredients of the proof: a time layering argument; and a cumulant ansatz that memorizes the full collision history on time [0,t].            

 

Title: Lecture 3:  Long time derivation of Boltzmann equation from hard sphere dynamics:  analysis of an integral constructed and combinatorial algorithm

Time&Venue: 20241212日(星期9:00-10:00 & ZOOM会议号:725 329 7593 密码:mcm1234

Abstract: The third lecture will be discussed on the last two main ingredients of the proof: analysis of an integral constructed from such collision history; and  a carefully designed combinatorial algorithm that allows to control such integrals.


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