304am永利集团官网王宾国诚教授邀请,加拿大纽芬兰纪念大学赵晓强教授将于2022年6月24日-6月26日与我校有关师生进行在线学术研讨,其中6月25日举行线上专题学术报告。
报告题目:Propagation Dynamics of Reaction and Diffusion Equations in a Time-heterogeneous Shifting Environment
时 间:6月25日上午10:20
腾讯会议ID:790 1862 7942 密码:123456
摘 要:In this talk, I will report our recent research on the propagation dynamics of a large class of nonautonomous reaction-diffusion equations with the time-dependent shifting speed having a uniform mean c. Under the assumption that in two directions of the spatial variable there are two limiting equations with one admitting a spreading speed c* and the other being asymptotic to annihilation, we show that the solutions with compactly supported initial data go to zero eventually when c is less than or equal to -c*, the leftward spreading speed is -c* when c is greater than -c*, and the rightward spreading speed is c and c* when c is in the interval (-c*,c*) and c is greater than or equal to c*, respectively. We also establish the existence, uniqueness and nonexistence of the forced traveling wave in terms of the sign of c-c*. This talk is based on a joint work with Dr. Lei Zhang.
赵晓强教授简介
赵晓强,纽芬兰纪念大学教授。1990年1月在中国科学院应用数学研究所获博士学位,师从我国运动稳定性理论先驱秦元勋先生。赵晓强教授是国际应用动力系统和生物数学领域中最活跃的学者之一。他关于单调动力学、一致持久性、行波解和渐进传播速度、基本再生数的理论及应用方面的一系列工作已经成为了相关研究领域的经典文献。 迄今为止,赵晓强教授在Comm. Pure Appl. Math.、 J. Eur. Math. Soc.、J. Reine Angew. Math.、J. Math. Pures Appl.、SIAM J. Math. Anal.、 SIAM J.Appl.Math.、J. Nonlinear Science、J. Functional Anal.、 J.Differential Equations、J. Math.Biology、Bull. Math. Biology等国际著名期刊上发表学术论文100余篇,并著有 Dynamical Systems in Population Biology(Springer-Verlag)。此外,赵教授目前担任加拿大数学会主办杂志Canadian Mathematical Bulletin的主编和另外两个国际动力系统期刊的编委。
甘肃应用数学中心
甘肃省高校应用数学与复杂系统省级重点实验室
304am永利集团官网
萃英学院
2022年6月22日