The Derivation of the Compressible Euler Equation from Quantum Many-body Dynamics
发布时间：2022年10月31日
浏览次数：3290
发布者: He Liu
主讲人： Shunlin Shen (PKU)
活动时间： 从 2022-11-03 15:10 到 16:10
场地： 北京国际数学研究中心，镜春园78号院（怀新园）77201室
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.
