报告题目：一类机制反应扩散模型的多脉冲波

报告时间：2022-04-27  15:30 - 16:30

报告人：李骥 教授  华中科技大学

腾讯会议ID: 443-726-310

Abstract: We analyze the stability of traveling pulse in a reaction-diffusion-mechanics system, which is derived by Holzer, Doelman and Kaper recently. This system consists of a modified FitzHugh-Nagumo system bidirectionally coupling with an elasticity equation. Applying the framework of geometric singular perturbation theory, we analyze the spectrum of simple traveling pulse in this reaction-diffusion-mechanics system and prove it is linearly stable. The main tool is exponential dichotomies. A second part is for the existence of multi-pluse, which is proved by showing that there is a double twist heteroclinic loop structure.