学术报告

题      目：Gibbs measure for NLS with a trapping potential

报  告  人：王玉昭  副教授  (邀请人：李颖花 )

                                   英国伯明翰大学

时      间：6月19日  10：15-11：15

地     点：数科院东楼421

报告人简介:

        王玉昭，北京大学数学博士，现任英国伯明翰大学数学学院副教授。主要研究调和分析与偏微分方程，其主要研究领域是非线性色散偏微分方程（PDEs）的数学分析，工具包括谐波分析、概率论和动力系统。在Ann. Inst. H. Poincaré Anal. Non Linéaire，SIAM J. Math. Anal.，J. Differential Equations等杂志发表多篇论文。

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.