报告题目：Gibbs measure for NLS with a trapping potential

报告人：王玉昭 副教授 （伯明翰大学与暨南大学）

报告时间：2023年6月28日（星期三）上午9:30-10:30

报告地点：海山楼A1101

校内联系人：王文栋 教授，曹杨 教授 

报告摘要：In this talk, I will present some of our recent work on the Gibbs measures construction for NLS with a trapping potential. Such Gibbs measures appeared in the study of statistical Bose gases and Bose-Einstein condensates. In particular, for the defocusing case with quartic nonlinear interactions, it has been rigorously derived from many-body quantum mechanics. I will go over some recent progress about the construction of the focusing Gibbs measures and their application in the study of long-time behaviour of solutions to NLS. If time permits, I will explain the ideas of the proof, which rely on a variational approach and a detailed spectrum analysis of the Schrodinger operators.

报告人简介：王玉昭，博士毕业于北京大学，目前是伯明翰大学与暨南大学的副教授。主要从事偏微分方程的研究，发表30多篇学术论文。