题 目：Riemann-Hilbert problem and long-time asymptotics of the good Boussinesq equation

报告人：王灯山 教授（北京师范大学）

时 间：3月15日 星期日 16:00-17:00   地 点：逸夫楼1537

摘 要：In this talk, we report our recent studies on the long-time asymptotics of the initial-value problem for the good Boussinesq equation and the modified good Boussinesq equation. The inverse scattering transform implies that the solution of these equations can be expressed in terms of the solution of a three-order matrix Riemann-Hilbert problem. The long-time asymptotic behaviors of the solution are established by performing a nonlinear steepest descent analysis of this Riemann-Hilbert problem.

报告人简介：王灯山，北京师范大学数学科学学院，教授、博士生导师。主要从事可积系统和渐近分析方面的研究，主持国家自然科学基金面上项目等国家级和省部级项目10余项，参与获得北京市科学技术奖一等奖。入选北京市“科技新星”计划、北京市“高创计划”青年拔尖人才和北京市“长城学者”计划。