应兰州大学数学与统计学院李万同教授和孙建文副教授邀请，美国Auburn University沈文仙教授将于2024年11月10日（星期日）进行在线学术报告，欢迎广大师生参加。

题目：Front propagation dynamics in Fisher KPP equations onunbounded metric graphs

时间：11月10日（星期日）上午9:00

腾讯会议：487-185-539

摘要：This talk is concerned with front propagation dynamics in Fisher KPP equations on unbounded metricgraphs. Such equations can be used to model the evolution of populations living in environments withnetwork structure. There are several studies on front propagation phenoman in bistable equations on unbounded metric graphs. It is known that, in such equations, the network structure of the underlying environment may block the propagation of the fronts. It will be shown in this talk that the network structure of the environments does not block the propagation of the fronts in Fisher-KPP equations. In particular, it will be shown that the Fisher-KPP equation on an unbounded graph with finite many edges has the same spreading speedc∗as the Fisher KPP equation on the real line R and has a generalized traveling wave connecting the stable positive constant solution and the trivial solution with averaged speedcfor anyc > c∗.

欢迎广大师生光临!

报告人简介

沈文仙教授是国际知名微分方程动力系统专家，多年来致力于研究许多微分方程中的动力学问题，包括异质和随机介质理论中的行波解，单调动力系统中的Lyapunov指数理论，非局部扩散算子的谱理论及应用，拟周期反应扩散方程的渐近动力学行为，特别是与其合作者所发展的非自治单调斜积半流理论已成为处理许多非自治方程动力系统的重要工具。沈文仙教授现为国际权威数学杂志J. Differential Equations,J. Dynam. Differential Equations, Proc. Amer. Math. Soc.等杂志编委。在Trans. Amer. Math. Soc.、SIAM 系列、Mem. Amer. Math. Soc.等国际著名期刊上发表学术论文100余篇。

甘肃应用数学中心

数学与统计学院

萃英学院

2024年11月8日