报告题目：Traveling Waves and Global Stability to Time-Delayed Reaction-Diffusion Equations with Degenerate Diffusion
报 告 人：梅茗教授 加拿大 McGill 大学和 Champlain 学院
报告时间：2019年5月27日8:30-9:30
报告地点：数学楼第一报告厅
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).
报告人简介：
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，博士生导师。2015年被聘为吉林省“长白山学者”讲座教授，以及东北师范大学“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ARMA, SIAM, JDE, Commun.PDEs 等刊物发发表论文70多篇，是12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。
