报 告 人：李慧聪 博士（华东师范大学偏微分方程中心）
报告题目：Effects of a road in a nature reserve on the logistic diffusion equation
报告时间：2015年12月4日（周五）下午2:00-5:00
报告地点：静远楼1508学术报告厅
摘 要： We consider the logistic diffusion equation on the entire plane, including a horizontal strip of width $\delta$ and diffusion rate $\sigma$ (either large or small). The mathematical question we try to answer is whether the inclusion of a road with fast diffusion (or a buffer zone with small diffusion) will affect the overall spreading speed of species that usually thrive in domains with moderate diffusion rate. As $\delta\to 0$, we rigorously establish a limiting system with effective boundary conditions on the x-axis, some of which has not appeared in literature. We then investigate the spreading speed of the limiting system. Our result indicates that a road with fast diffusion indeed has a driving effect on the spreading of species, at least in the x-direction, provided the diffusion rate is of the order $\delta^{-1}$. This is a joint work with Xuefeng Wang.
李慧聪博士个人简介：李慧聪博士于2015年取得美国Tulane University博士学位,并获得Tulane University大学最佳博士论文奖。目前在华东师范大学偏微分方程中心从事博士后工作。主要研究领域是反应扩散方程，已在J. Differential Equations、DCDS-A等数学杂志发表学术论文多篇。