设为首页 | 加入收藏 | 宁波大学
数学与统计学院
首页学院概况师资队伍科学研究人才培养党群工作学生工作校友之家招聘信息信息公开English
新闻中心
 学院新闻 
 通知通告 
 学术活动 
 学生工作 
 人才培养 
 
当前位置: 首页>>新闻中心>>学术活动>>正文
甬江数学讲坛318讲(2022年第102讲)
2022-12-05 12:44     (点击:)

报告题目:The Long-time asymptotics of some soliton equations

人:耿献国(郑州大学 教授)

报告时间:2022126 下午3:30开始

报告地点腾讯会议(会议号:156 899 705

报告摘要:Based on the matrix block technique, the Deift-Zhou nonlinear steepest descent method is developed to study the asymptotic analysis of solutions of some nonlinear evolution equations associated with the higher-order matrix spectral problems. As applications, spectral analysis of the 4×4 matrix spectral problems related to these soliton equations is discussed and and their scattering data are obtained, from which the solutions to the Cauchy problems of these soliton equations are transformed into the solutions to the corresponding Riemann–Hilbert problems. The Deift–Zhou nonlinear steepest descent method is extended to these Riemann–Hilbert problems, and model Riemann–Hilbert problems are established with the help of distinct factorizations of the jump matrixs for the Riemann–Hilbert problems. Finally, the long-time asymptotics of the solutions to the Cauchy problems of these soliton equations are obtained.

报告人简介:耿献国,郑州大学数学与统计学院教授,博士生导师,郑州大学特聘教授。国务院政府特殊津贴专家,全国百篇优秀博士学位论文指导老师。从事的研究方向是可积系统及应用。曾在Commun. Math. Phys., Trans. Amer. Math. Soc., Adv. Math., J. Nonlinear Sci., SIAM J. Math. Anal.等刊物上发表论文。主持国家自然科学基金重点项目2项和多项国家自然科学基金面上项目等。

 

关闭窗口
宁波大学 | 图书馆

地址:宁波市江北区风华路818号宁波大学包玉书9号楼;邮编:315211;电话:0574-87600795