报告人：王智诚 (兰州大学)

报告题目：Periodic traveling waves and propagating terraces for multistable nonlinearity in cylinders

报告摘要：This talk is devoted to the study of a class of reaction-advection-diffusion equations in cylinders, where the nonlinearity is a tristable or multistable nonlinearity. We establish the alternative of wave solutions, that is, either there is a unique, asymptotically stable periodic traveling wave connecting 0 to 1 directly, or there is a unique propagating terrace connecting 0 to 1. Under the assumption that all wave speeds in propagating terrace are not equal to each other, we further obtain that the propagating terrace is asymptotically stable if it exists. Moreover, the sufficient and necessary conditions for the existence of periodic traveling waves connecting 0 to 1 are given respectively. Our arguments are based on the parabolic maximum principle, sliding method and the super- and sub-solution method.

报告时间：2024年12月7日（星期l六）8:30-10:00

报告地点：科技楼706会议室

邀请人：李骥

报告人简介：王智诚，兰州大学sunbet中国官网教授，博士生导师，萃英学者特聘教授。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。主要成果发表在Trans. AMS、Arch. Rational Mech. Anal.、JMPA、Indiana Univ. Math. J.、SIAM J. Math. Anal.、SIAM J. Appl. Math.、Israel J. Math.、CVPDE、JDE、Nonlinearity、J. Nonlinear Sci.、J. Math. Biol.等杂志上。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，主持完成三项国家自然科学基金面上项目，参与完成一项国家自然科学基金重点项目，正在主持一项甘肃省基础研究创新群体项目和一项国家自然科学基金面上项目。目前担任两个SCI杂志International  J.  Bifurc. Chaos 和Mathematical Biosciences and Engineering (MBE) 的编委（Associate editor）。