Lecture: Fluid limits from Fermi-Dirac-Boltzmann equation

Lecturer: Prof. Jiang Ning

Time: 14:30-16:30, June 27^th.

Venue: C302B at Minglilou Building

Bio:

Prof. Jiang Ning received his Bachelor's degree from Nanjing University, his Master's degree from the Institute of Mathematics of the Chinese Academy of Sciences under the supervision of Academician Ding Weiyue, and his Doctoral degree from the University of Maryland under the supervision of Dr. Dave Levermore. He worked at the Courant Institute of the New York University and the Center for Mathematical Sciences of Tsinghua University in succession, and is now working at the School of Mathematics and Statistics of Wuhan University. Prof. Jiang Ning has devoted himself to the study of kinetic equations and their fluid limits, liquid crystal equations, and nonlinear equations in biomathematics. He has published more than 40 papers in leading academic journals such as CPAM, ARMA, APDE, and JMPA.

Abstract:

In his 2015 Ecole Polytechnique thesis, T.Zakrevskiy formally derived some fluid dynamics from quantum Boltzmann equation (Fermi-Dirac statistics). We rigorously justify two types of limits: incompressible Navier-Stokes-Fourier and compressible Euler (then acoustic) systems, by establishing some new nonlinear estimates on triple terms, and uniform estimates with respect to Kundsen number. These are joint works with Kai Zhou (and partially LinjieXiong).

Organizer and sponsor:

School of Sciences

Institute of Artificial Intelligence

Institute of Nonlinear Dynamical Systems

Mathematical Mechanics Research Center

Institute of Science and Technology Development