A delayed reaction-diffusion equation with free boundary

讲座时间 Datetime: 2022年9月8日，星期四，20:30-21:30

地点 Venue: 腾讯线上会议：489-419-824

主持人 Host：彭亚群

报告人 Speaker: 方健

单位 Affiliation: 哈尔滨工业大学

报告摘要 Abstract:

Incorporating time delay and Stefan type free boundary into reaction-diffusion equation yields a compatible condition, which guarantees the well-posedness of the initial value problem. Further, under a KPP type setting we establish a dichotomy on propagation or vanishing. When propagation happens, the spreading speed is shown to exist and it is determined nonlinearly by a delay-induced nonlocal elliptic problem in half line.