中科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
报告人：陈旭文（University of Rochester）
题 目：From Quantum Particles to Compressible Inviscid Fluid
时 间：2023.3.7（星期二）16:00-17:00
地 点：南楼 913
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 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.
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