云亭数学讲坛2022第82讲—— 王智诚教授

文章来源:皇冠正规娱乐平台发布日期:2022-11-11浏览次数:337

应学院邀请,兰州大学王智诚教授将在线作学术报告。

报告题目:Periodic traveling waves  and propagating terraces in reaction-diffusion-advection equations with multistable nonlinearity in cylinders

报告摘要:This talk is  devoted to the study of  a  class of  reaction-advection-diffusion equations of the form $u_{t}-\Delta u+\beta(y)u_{x}=f(t,u)$ in cylinders, where $f$ is a tristable or multistable nonlinearity satisfying $f(\cdot,0)=f(\cdot,1)=0$. 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.

报告时间:2022111515:00

报告地点:腾讯会议号(947-497-036)

邀 请 人:强立忠、田歌博士

届时欢迎广大师生参与交流!


报告人简介

王智诚,兰州大学皇冠正规娱乐平台教授,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。主要成果发表在Trans. AMSArch. Rational Mech. Anal.SIAM J. Math. Anal.SIAM J. Appl. Math.JMPACPDEJDENonlinearity等杂志上。2010年入选教育部新世纪优秀人才支持计划,20112019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International  J.  Bifurc. Chaos 等多个杂志的编委(Associate editor)。



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