2022-04-25 信息来源：腾讯会议
举办单位：数学科学学院
负责人姓名：王飏
电话：13834047901
活动主题：propagation dynamics for time periodic partially degenerate reaction-diffusion systems
形式：学术报告
活动内容摘要：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.
主讲人基本情况：吴事良教授，中国数学会第十三届理事会理事，陕西省数学会常务理事，陕西省杰出青年基金获得者，陕西省高等学校杰出青年人才计划入选者，西安电子科技大学数学与统计学院副院长。吴事良教授主要从事微分方程、动力系统及应用等方面的研究，取得了一些有一定学术价值和影响的研究成果。先后主持国家自然科学基金3项、陕西省杰出青年基金1项，获得陕西青年科技奖和陕西省科学技术奖一等奖2项，并在《transactions of the american mathematical society》《siam journal on mathematical analysis》《journal of differential equations》《journal of dynamics and differential equations》《nonlinearity》 等国际知名学术期刊上发表论文40余篇。
听众范围：数学科学学院师生
举办时间：2022年4月28日
举办地点：腾讯会议
报告类型：理科类