报 告 人：郭宏骏 研究员
报告题目：On the mean speed of bistable transition fronts in unbounded domains
报告时间：2023年11月23日（周四）上午8:30-11:30
报告地点：腾讯会议：149-223-166
主办单位：太阳成集团、数学研究院、科学技术研究院
报告人简介：
郭宏骏，现为同济大学特聘研究员。2018年毕业于法国艾克斯马赛大学，导师为Francois Hamel教授，2018-2019年在迈阿密大学从事博士后研究，2019-2020年在怀俄明大学从事博士后研究。目前已在ARMA，Math.Ann.，J.Math. Pures Appl.，Calc. Var. PDE等国际知名杂志发表SCI论文多篇。
报告摘要：
This talk is concerned with the existence and further properties of propagation speeds of transition fronts for bistable reaction-diffusion equations in exterior domains and in some domains with multiple cylindrical branches. In exterior domains we show that all transition fronts propagate with the same global mean speed, which turns out to be equal to the uniquely defined planar speed. In domains with multiple cylindrical branches, we show that the solutions emanating from some branches and propagating completely are transition fronts propagating with the unique planar speed. We also give some geometrical and scaling conditions on the domain, either exterior or with multiple cylindrical branches, which guarantee that any transition front has a global mean speed.