Free boundary problems with time-delay and advection

主讲人：孙宁奎 山东师范大学副教授

时间：2025年2月21日16：30

地点：三号楼332室

举办单位：数理学院

主讲人介绍：孙宁奎，山东师范大学副教授，2016年于同济大学获得理学博士学位，研究方向为非线性偏微分方程和生物数学，发表论文10余篇，部分成果发表在Math. Ann., Calc. Var. Partial Differential Equations, J. Differential Equations等期刊。主持国家自然科学基金青年项目1项，山东省优秀青年基金1项，山东省青创团队项目1项。

内容介绍：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.