福建师范大学钟延生博士回国报告 9月15日下午
发布时间: 2017-09-15 访问次数: 172

报告人:钟延生副教授福建师范大学

报告题目:Larger time behaviour stability of solitary waves

时间:2017915 (星期五) 14:30 ~ 15:30

地点:旗山校区理工北楼601报告厅

主办:数学与信息学院, 福建省分析数学及应用重点实验室

参加对象:感兴趣的教师和数学方向的研究生

报告摘要:In this paper, westudy the large time behaviour stability of solitary waves for the uniformly damped Korteweg-de Vries equation. The KdV equation is the Hamiltonian part and it has a two-dimensional family of relative equilibria. These relative equilibria are soliton-like waves. Solutions of the dissipative system, starting nearing soliton-like wave, are approximated with a long curve on the family of soliton-like waves. The difference in shape between a solution and a quasi-static soliton-like wave approximation is of the order of the damping and it is also expressed in terms of weighted norms, with exponential weights of the form e^{ay} where a>0.