报告题目：Transition Fronts for Delayed Reaction Diffusion Equations in Time Almost Periodic Media

报 告 人：王智诚教授（兰州大学）

报告时间：2022年8月25日15:00-17:00

报告地点：腾讯会议（392707101）

报告摘要：摘要：This talk is concerned with propagation phenomena in nonlocal delayed reaction-diffusion equations in time almost periodic media. Firstly we introduce the notion of transition semiwaves for the equation. Then we study properties of exponentially decaying solutions for the corresponding linear problem. Moreover, by constructing appropriate upper and lower solutions and using comparison arguments, we show that no matter the birth rate function is monotone or not, there is a critical wave speed such that a transition semiwave exists as soon as the mean value of wave speed is greater than this critical speed. Some spreading properties for solutions of the Cauchy problem are also established. Finally, a brief discussion is given to show that the critical speed obtained in the present paper coincides with the minimum speed observed by others for some special cases.

个人简介：王智诚，兰州大学数学与统计学院教授，博士生导师。1994年本科毕业于西北师范大学，2007年在兰州大学获理学博士学位。在Trans. AMS、Arch. Rational Mech. Anal.、SIAM J. Math. Anal.、SIAM J. Appl. Math.、JMPA、Calc. Var. PDE、JDE、JDDE、Nonlinearity等杂志发表SCI论文100多篇。2010年入选教育部新世纪优秀人才支持计划，2011和2019年分别获得甘肃省自然科学二等奖，2016年入选甘肃省飞天学者特聘教授，主持完成两项国家自然科学基金面上项目以及教育部博士点基金等多项省部级项目，正在主持一项甘肃省基础研究创新群体项目、一项国家自然科学基金面上项目并参加一项国家自然科学基金重点项目。目前担任两个SCI杂志International J. Bifurc. Chaos 和Mathematical Biosciences and Engineering (MBE) 的编委（Associate editor）。