Title: Propagation of fronts through a perforated wall

Abstract: In recent years, the behavior of solution fronts of reaction-diffusion equations in the presence of obstacles has attracted attention among many researchers. Of particular interest is the case where the equation has a bistable nonlinearity.

In this talk, I will consider the case where the obstacle is a wall of infinite span with many holes and discuss whether the front can pass through the wall and continue to propagate (“propagation”) or is blocked by the wall (“blocking”).  The answer depends largely on the size and the geometric configuration of the holes.

This problem has led to a variety of interesting mathematical questions that are far richer than we had originally anticipated. Many questions still remain open. This is joint work with Henri Berestycki and François Hamel.

报告人：Matano

时间：11月28日16:30 -17:30

地点：数学楼301室

报告人简介：Hiroshi Matano is currently Distinguished Professor Emeritus at Meiji University, Japan, and was the director of Meiji Institute for Advanced Study of Mathematical Sciences (MIMS) from 2019 to 2023. He is also Professor Emeritus at the University of Tokyo. He obtained DSc degree from Kyoto University in 1982. He was awarded Spring Prize in 1990, which is the most prestigious prize of the Mathematical Society of Japan, and was a 45-minute invited speaker at ICM 94, Zurich. He was also a distinguished Ordway Visiting Professor at University of Minnesota in 1990 and 2018.