报告题目：Spreading speeds for monostable reaction-diffusion equations with free boundaries in space-time periodic media  

主讲人：丁维维 副研究员

时 间：2022年1月10日（周一）晚上19：00

地 点：腾讯会议（会议号687 224 192）

主办单位：理学院

主讲人简介：

丁维维，华南师范大学副研究员，2015年4月博士毕业于中国科学技术大学和法国艾克斯-马赛大学，曾先后在澳大利亚新英格兰大学、日本东京大学、日本明治大学从事博士后研究。主要研究领域为非线性抛物型方程的动力学性质，及其在生物问题上的应用。在Adv. Math.、JMPA、IUMJ、AIHP Analyse Non Lineaire、SIMA、CVPDE、JDE等杂志上发表论文十余篇。

摘要:

In this talk, I will classify the long-time behavior of the solution to a free boundary problem with monostable reaction term in space–time periodic media. In time-periodic and space homogeneous environment, as well as in space-periodic and time autonomous environment, a spreading–vanishing dichotomy has been established, and when spreading happens, the asymptotic spreading speed is proved to exist by making use of the corresponding semi-wave solutions. In this talk, I will present a different approach developed by Weinberger and some others, which yields the existence of the spreading speed in space-time periodic media without using traveling wave solutions. This work is in collaboration with Prof. Yihong Du and Prof. Xiang Liang.