From Quantum Particles to Compressible Inviscid Fluid
Time: 2023-03-08
Published By: He Liu
Speaker(s): Xuwen CHEN (University of Rochester)
Time: 15:30-16:30 March 20, 2023
Venue: Room 1114, Sciences Building No. 1
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.
