走向现代数学学术报告 - 陈旭文教授（No. 620）

题目: From Quantum Particles to Compressible Inviscid Fluid

报告人：陈旭文 教授（罗切斯特大学）

时间：2023年6月2日 14:30

地点：学术报告厅（工西416）

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.

报告人简介：陈旭文，罗切斯特大学教授，2012年博士毕业于马里兰大学。主要研究具有物理背景的非线性偏微分方程及散射问题。研究获得Simons Fellowship和美国国家科学基金的支持。研究成果发表于《Inventiones Mathematicae》、《Journal of the European Mathematical Society》、《Communications in Mathematical Physics》、《Archive for Rational Mechanics and Analysis》、《Journal de Mathématiques Pures et Appliquées》、《International Mathematics Research Notices》等重要数学期刊。