On the mean speed of bistable transition fronts in unbounded domains
Time： 15:00, June 8, 2021
Speaker: Hongjun Guo, special researcher of Tongji University
Place: Room 301, No. 3 Building
Sponsor: SHNU College of Mathematics and Mechanical Engineering
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.