报告人： 李思泰 教授

报告题目： On the Maxwell-Bloch system in the sharp-line limit

时间： 2026年11月8日（周日）9:00—10:00

地点： 西安交通大学数学与统计学院2-2会议室

邀请人： 刘小川  教授

报告摘要：

We study the Maxwell-Bloch (MB) system of light-matter interaction via asymptotics. On the one hand, we clarify certain features of solutions that satisfy physically motivated initial/boundary conditions. Specifically: (i) A boundary layer phenomenon is fully explained in terms of a self-similar solution related to the Painleve-III transcendents. (ii) Our analysis of the asymptotic behavior of solutions reveals that the electric field decays slowly in one direction, which is inconsistent with the simplest version of scattering theory. (iii) The asymptotic results validate a previously proposed causality requirement for MB system. On the other hand, we also study pure soliton solutions and their dynamics.

报告人简介：

李思泰，厦门大学数学科学学院教授，主持国家自然科学基金青B项目。2010年获南开大学数学学士学位，2018年于美国 State University of New York at Buffalo 取得数学博士学位，2019-2021年在 University of Michigan 做博士后工作。

长期从事非线性可积系统的研究，在 Commun. Pure Appl. Math.，Commun. Math. Phys.，SIAM Rev. 等杂志发表多篇学术论文。