讲座题目：Long-time dynamics of a nonlocal diffusion model with free boundary

主讲人：倪文杰

讲座时间：2021年5月27日15：00-17：00

讲座地点：腾讯会议(ID: 916 159 739)

理学院

2021年5月27日

摘要：We consider a kind of reaction-diffusion equation with free boundaries in one space dimension, where the diffusion terms are nonlocal. The problem is monostable in nature, resembling the well known Fisher-KPP equation. A "spreading-vanishing" dichotomy is known to govern the long time dynamical behavior [Cao-Du-Li-Li-Zhou-JFA-2019]. In the paper [Du-Li-Zhou-2020], a threshold conditions on the kernel functions which decide exactly when the spreading has finite speed, or infinite speed (accelerated spreading) is obtained. For kernel functions that behave like|x|^{r}near infinity, Professor Du and me obtain better estimates of the spreading speed for both the finite speed case, and the infinite speed case, which appear to be the first for this kind of free boundary problems.

主讲人简介：

倪文杰，澳大利亚新英格兰大学博士后。2018年7月获得哈尔滨工业大学基础数学博士学位。2016/09-2018/02作为联合培养博士研究生赴美国威廉玛丽学院学习。现为澳大利亚新英格兰大学数学系博士后。在CVPDE, JDE, Nonlinearity, Proceedings of AMS等数学期刊发表数篇文章。主要研究方向为反应扩散方程与自由边界问题解的长时间行为。