报告时间：2026年11月6日（周五） 17:30-18:30

报告地点：陕西师范大学长安校区文津楼3425报告厅

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

报告人：李思泰 副教授

邀请人：姚若侠 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副教授，国家级青年人才。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，主持国家自然科学基金项目1项。