The Derivation of the Compressible Euler Equation from Quantum Many-body Dynamics
Time: 2022-10-31
Published By: He Liu
Speaker(s): Shunlin Shen (PKU)
Time: 15:10-16:10 November 3, 2022
Venue: Room 77201, Jingchunyuan 78, BICMR
We derive the 3D compressible Euler equation from quantum many-body dynamics in the mean-field and semiclassical limit. Up to the 1st blow up time of the limiting Euler equation, we establish strong and quantitative microscopic to macroscopic convergence of mass and momentum densities and justify that the macroscopic pressure emerges from the space-time averages of microscopic interactions via the Strichartz-type bounds. This is a joint work with X. Chen, J. Wu and Z. Zhang.
