主講人:孫寧奎 山東師范大學副教授
時間:2025年2月21日16:30
地點:三號樓332室
舉辦單位:數理學院
主講人介紹:孫寧奎,山東師范大學副教授,2016年于同濟大學獲得理學博士學位,研究方向為非線性偏微分方程和生物數學,發表論文10余篇,部分成果發表在Math. Ann., Calc. Var. Partial Differential Equations, J. Differential Equations等期刊。主持國家自然科學基金青年項目1項,山東省優秀青年基金1項,山東省青創團隊項目1項。
內容介紹:This talk is devoted to the dynamical behavior of solutions to some free boundary problems with time-delay and advection. We obtain that when the coefficient of advection is small, there exists a vanishing-spreading dichotomy result; when the coefficient of advection is medium-sized, there exists a vanishing-transition-virtual spreading trichotomy result; when the coefficient of advection is large, only vanishing happens. We also show that the profiles of (virtual) spreading solutions are uniquely determined by the corresponding semi-waves.