Propagation dynamics for time-periodic partially degenerate reaction-diffusion systems

讲座时间 Datetime: 2022年9月4日，星期日，10:30-11:30

地点 Venue: 腾讯线上会议：333-468-922

主持人 Host：唐德

报告人 Speaker: 吴事良

单位 Affiliation: 西安电子科技大学

报告摘要 Abstract:

This talk is concerned with propagation dynamics for time-periodic partially degenerate reaction-diffusion systems with monostable nonlinearity. In the cooperative case, we prove the existence and exponential stability of the periodic traveling fronts. In the non-cooperative case, we establish the existence of the minimal wave speed of periodic traveling waves and show that it coincides with the spreading speed. More specifically, when the system is non-degenerate, the existence of the periodic traveling waves is proved by using the Schauder's fixed point theorem and regularity of analytic semigroup; while in the partially degenerate case, due to the lack of compactness and standard parabolic estimates, the existence result is obtained by appealing to the asymptotic fixed point theorem with the help of some properties of the  Kuratowski measure of noncompactness. This is a joint work with Mingdi Huang and Xiao-Qiang Zhao.