报告人：陈旭文(University of Rochester)
时 间：2019年5月9日下午 15:30-16:30
地点：华南数学应用与交叉研究中心学术报告厅111
题目：The Derivation of Nonlinear Schrödinger Equations From Quantum Many-Body Evolution
摘要：
The rigorous justication of mean-field type equations (Boltzmann,Vlasov-Poisson, nonlinear Schrödinger...) from the many-body systems they are supposed to describe is a vast and fundamental subject. Since the Nobel Prize winning first observation of Bose-Einstein condensation (BEC), the investigation of this new state of matter and thus the nonlinear Schrödinger equation has become a research hot spot and seen vast developments in recent years. In this talk, we survey the mathematical achievements in the field and discuss the most recent advancement which is the proof of such derivations in the energy-critical setting.