Traveling Waves and Global Stability to Time-Delayed Reaction-Diffusion Equations with Degenerate Diffusion
报告题目(Title)：Traveling Waves and Global Stability to Time-Delayed Reaction-Diffusion Equations with Degenerate Diffusion
报告人(Speaker)：梅茗 （加拿大 McGill 大学和Champlain学院）
地点(Place)：后主楼1124室
时间(Time)：2019年7月5日16:00-17:00
邀请人(Inviter)：袁荣
报告摘要
In this talk, I will present our current research results on traveling waves for time-delayed reaction-diffusion equations with degeneracy. Different from the existing studies where there exists a minimum wave speed for the traveling waves in the case of mono-stable type equations like Fisher-KPP, we recognize that, for the local reaction-diffusion equations with degenerate diffusion and time-delay, there is no traveling wave with minimum speed, namely, the waves exist only for all speed c>0, but not for c<0 nor c=0. The global stability in L^1-weighted space is also proved. This talk is based on our two recent papers joint with Rui Huang, Chunhua Ji, Jingxue Yin published in J. Nonlinear Sci. (2018), and joint with Tianyuan Xu, Shanming Ji and Jingxue Yin in J. Diff. Eqn. (2018).
主讲人简介
梅茗教授, 自2005年起为加拿大McGill大学兼职教授及Champlain学院的终身教授，博士导师。意大利L’Aquila大学客座教授。2015年被聘为吉林省长白山学者讲座教授，东北师范大学“东师学者”讲座教授。主要从事流体力学中偏微分方程和生物数学中带时滞反应扩散方程研究，在Archive for Rational Mechanics and Analysis, SIAM J. Math. Anal., J. Differential Equations, Commun.PDEs 等刊物发发表论文90多篇。其中有关带时滞的反应扩散方程行波解稳定性的多篇系列性研究论文一直是ESI的高被引论文。梅茗教授是4家SCI国际数学杂志的编委。并一直承担加拿大自然科学基金项目，魁北克省自然科学基金项目，及魁北克省大专院校国际局的基金项目。
