首页   系科介绍   师资队伍   科研团队   本科生教学   研究生培养   招聘信息   联系我们

Previous Next
 
首页 >> 学术报告

Reaction-diffusion equations with time-delay and oscillatory traveling waves

Professor Ming Mei 梅茗教授(Champlain College St.-Lambert and McGill University, Canada)
2014年6月3日(星期二)下午3:00-4:00  闵行校区数学楼102报告厅
 
偏微分方程讨论班

摘要:In this talk, we present our new results on stability of oscillatory

traveling waves for a class of reaction-diffusion equations with

time-delay. The typical model is the Nicholson’s blowflies equation. When the birth rate function is non-monotone, the equation losses its

monotonicity, and the traveling waves are oscillating for a large

time-delay. These cause the study totally different from the monotone case, and will be more challenging. By using the technical weighted energy method with some new development, and the Halanay’s inequality, we prove that, for all non-critical monotone/non-monotone traveling waves, they are time-exponentially stable, and for all critical monotone/non-monotone traveling waves, they are time-algebraically stable. Some numerical computations will be also reported, which further confirm and support our theoretical results. This is a joint work with Xiongfeng Yang and Qifeng Zhang.

   
 
 
快捷链接 >>
 
系内资源 >>
 
教学园地 >>
 
  校外链接 >>    上海市核心数学与基础数学重点实验室    华师大-纽大联合数学中心    上海市数学会    中国数学会    美国数学会    欧洲数学会  
         
       Copyright 2012 All rights reserved    Department of Mathematics, East China Normal University    Tel: 86-21-54342609