From Quantum Particles to Compressible Inviscid Fluid
发布时间：2023年03月08日
浏览次数：1705
发布者: He Liu
主讲人： Xuwen CHEN (University of Rochester)
活动时间： 从 2023-03-20 15:30 到 16:30
场地： 理科一号楼 1114教室
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 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.
