报告人: 何凌冰(清华大学)

报告题目: On semi-classical limit of spatially homogeneous quantum Boltzmann equation

报告摘要：The quantum Boltzmann equations for Fermi-Dirac and Bose-Einstein statistics proposed by Uehling and Uhlembeck (after Nordheim) should be derived from the evolution of real Fermions and Bosons in the so called weak-coupling limit. Since Fokker-Planck-Landau equation is the effective equation associated with a dense and weakly interacting gas of classical particles, it is not surprising that the semi-classical limits of the solutions to quantum Boltzmann equations are expected to be solutions to the Fokker-Planck-Landau equation. In this talk, we will show that these limits can be justified mathematically. It is based on a joint work with Xuguang Lu and Marrio Pulvirenti.

报告人简介：何凌冰：教授，清华大学数学系，博士毕业于中科院，主要研究方向为Boltzmann方程及Landau方程解的正则性传播和渐进性行为。近五年先后在Archive for Rational Mechanics and Analysis、Communications in Mathematical Physics、SIAM Journal on Mathematical Analysis、Journal of Functioal Analysis、Journal of Differential Equations、  J. Stat. Phys.等国际主流数学杂志发表论文20余篇。

报告时间：2019年4月12日（星期五）上午10:30-11:30

报告地点：科技楼南702