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:必赢242net
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.