主講人:孫寧奎 山東師范大學(xué)副教授
時(shí)間:2025年2月21日16:30
地點(diǎn):三號(hào)樓332室
舉辦單位:數(shù)理學(xué)院
主講人介紹:孫寧奎,山東師范大學(xué)副教授,2016年于同濟(jì)大學(xué)獲得理學(xué)博士學(xué)位,研究方向?yàn)榉蔷€性偏微分方程和生物數(shù)學(xué),發(fā)表論文10余篇,部分成果發(fā)表在Math. Ann., Calc. Var. Partial Differential Equations, J. Differential Equations等期刊。主持國(guó)家自然科學(xué)基金青年項(xiàng)目1項(xiàng),山東省優(yōu)秀青年基金1項(xiàng),山東省青創(chuàng)團(tuán)隊(duì)項(xiàng)目1項(xiàng)。
內(nèi)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.