From Quantum Particles to Compressible Inviscid Fluid
数学专题报告
报告题目(Title)：From Quantum Particles to Compressible Inviscid Fluid
报告人(Speaker)：陈旭文 教授 Rochester大学
地点(Place)：后主楼1124
时间(Time)：2024-5-28（星期二）， 10:30-11：30 am （Beijing Time）
邀请人(Inviter)：袁迪凡
报告摘要
We derive the classical compressible Euler equation as the limit of 3D quantum N-particle dynamics as N tends to infinity and Planck's constant tends to zero. We forge together the hierarchy method and the modulated energy method. We establish strong and quantitative convergence up to the 1st blow up time of the limiting Euler equation. During the course of the proof, we prove, as theoretically predicted, that the macroscopic pressure emerges from the space-time averages of microscopic interactions, which are in fact, Strichartz-type bounds and we have hence found a physical meaning for the Strichartz type bounds. The grand scheme also applies to the Euler-Poisson situation.
主讲人简介
陈旭文教授，美国Rochester大学数学系教授，西蒙斯奖金获得者，长期从事量子多体问题、动理学方程等偏微分方程的数学理论研究，已在国际顶级期刊 Inventiones Mathematicae, Forum of Mathematics PI, Journal of the European Mathematical Society, Peking Mathematical Journal, Annals of PDE, Archive for Rational Mechanics and Analysis, Communications in Mathematical Physics等上发表学术论文近30篇。
