Speaker: Prof. Shiliang Wu, Xidian University
Title: Pulsating traveling waves and entire solutions of periodic lattice dynamical systems
Abstract: This talk is concerned with the pulsating traveling waves and entire solutions of periodic lattice dynamical systems. In the monostable case, we first establish the exponential upper and lower bounds of the pulsating wave profiles at minus infinity. Then, we prove the uniqueness and asympotics of all non-critical pulsating traveling waves. In the bistable case, we construct two types of entire solutions with merging two monostable fronts and a bistable front.
个人简介:吴事良, 教授, 2009年研究生毕业于西安电子科技大学并获博士学位,1999年-2006年就读于兰州大学并先后获理学学士、理学硕士学位。2006年至今就职于西安电子科技大学,2014年任教授并担任应用数学专业博士生指导教师。研究方向为动力系统、微分方程以及生物数学,研究成果发表在相关领域的知名期刊:Trans. of AMS、J. Differential Equations、Nonlinearity、 J. Dynam. Diff. Eqns.、Discrete Cont. Dyn. Sys.、Proc. Royal Soc. Edinburgh A等学术期刊. 曾获陕西省科学技术一等奖两项(2011年,2018年)与陕西青年科技奖。