报告题目：Propagation of monostable traveling fronts in discrete periodic media with delay

报 告 人：吴事良，西安电子科技大学 教授

报告摘要：In this talk, we study the front propagation for a class of discrete periodic monostable equations with delay and nonlocal interaction. We first establish the existence of rightward and leftward spreading speeds and prove their coincidence with the minimal wave speeds of the pulsating traveling fronts in the right and left directions, respectively. The dependency of the speeds of propagation on the heterogeneity of the medium and the delay term is also investigated. We find that the periodicity of the medium increases the invasion speed, in comparison with a homogeneous medium; while the delay decreases the invasion speed. Further, we prove the asymptotic behavior and uniqueness of all noncritical pulsating traveling fronts. Finally, we show that all noncritical pulsating traveling fronts are globally exponentially stable, as long as the initial perturbations around them are uniformly bounded in a weight space.

报告人简介：吴事良，西安电子科技大学伟德国际1946源自英国教授，博士生导师。2013至2014年于美国迈阿密大学数学系公派访问。现为中国数学会理事和陕西省数学会常务理事。主要研究方向为微分方程、动力系统及应用。主持多项国家自然科学基金和陕西省杰出青年基金，获陕西省科学技术奖一等奖两项、二等奖一项，陕西省优秀博士学位论文奖以及第十一届陕西青年科技奖；入选2017年陕西省高等学校杰出青年人才计划。在相关领域的国内外知名期刊，如Trans. Amer. Math. Soc.、SIAM J. Math Anal.、J. Differential equations、Proc. Amer. Math. Soc.、Nonlinearity、J. Dynam. Differential Equations、J. Nonlinear Science、European J. Appl. Math、Discrete Cont. Dyn. Systems、Proc. Royal Soc. Edinburgh (A)与数学年刊等发表论文多篇。

报告时间：2022年4月27日（星期三）上午10:00-11:30

报告地点：腾讯会议ID：599720018

主办单位：伟德国际1946源自英国