报告题目：Determining spreading speeds for abstract time-periodic monotone semiflows

报告人：欧春华 教授 加拿大纽芬兰纪念大学

邀请人：王烽

报告时间：2024年5月30日（周四）11:00-12:00

报告地点：南校区会议中心112会议室

报告人简介：欧春华教授1989年本科毕业于北京大学，2003年获得williamhill威廉希尔官网数学博士学位。2015年至今任纽芬兰纪念大学终身教授，博士生导师，主要致力于微分方程和动力系统，渐近分析及工业应用数学等方面的学术研究。欧春华教授已经在SIAM J. Math. Anal., SIAM J.Appl. Math., SIAM J. Appl. Dyn. Syst., J. Nonlinear Sci., Nonlinearity, JDE等国际权威期刊发表了一系列高水平的学术论文，受到了国内外同行的关注与大量引用，并且连续多年获得加拿大国家自然科学基金及纽芬兰省科学发展基金的支持。

报告摘要：This talk is devoted to studying the spreading speed determinacy to an abstract time-periodic monotone semiflow, which is of monostable type with weak compactness and admits boundary equilibria in the phase space. The problem is challenging due to the existence of single spreading speed or multiple spreading speeds (fastest and slowest spreading speeds). We first study under what condition single spreading speed exists and establish necessary and sufficient conditions for linear and nonlinear selections of the spreading speed as well as the minimal wave speed of traveling wavefronts. In the case of multiple spreading speeds, the determinacy of each speed is further investigated based on the connection of wavefronts to the boundary equilibria. We apply our results to four time-periodic models: a delayed diffusive equation, a stream population model with a benthic zone, a nonlocal dispersal Lotka-Volterra model, and cooperative systems.