《北京数学杂志》学术会议5月17日邀请报告——From Quantum Particles to Compressible Inviscid Fluid
报告人：陈旭文 (University of Rochester)
时间：2024-05-17 15:10-16:10
地点：bat365中国在线平台官方网站镜春园82号甲乙丙楼报告厅
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.
