报告题目：Precise propagation dynamics of the nonlocal KPP free boundary problem with non-symmetric kernels

报告时间：2025年11月18日（星期二） 20:00-21:00

报告地点：腾讯会议ID：459-288-797

摘 要：This talk presents our recent joint work with Professor Yihong Du and Professor Xiangdong Fang on the asymptotic limit of the principal eigenvalue of asymmetric nonlocal diffusion operators and its implications for propagation dynamics in Fisher–KPP type equations. We first establish an explicit formula for the asymptotic limit of the principal eigenvalue of a nonlocal diffusion operator with drift, revealing how the asymmetry of the dispersal kernel affects the spectral structure. Building on this result, we analyze the long-term behavior of nonlocal KPP equations using a new eigenvalue-based approach that avoids the traditional reliance on traveling waves.  

报告人简介：倪文杰博士于2018年在哈尔滨工业大学获博士学位，师从王明新教授。此后赴澳大利亚新英格兰大学（University of New England）在杜一宏院士团队从事博士后研究，现任该校数学系讲师。主要研究方向为非线性偏微分方程与自由边界问题，特别关注非局部扩散模型在种群生态学中的应用。在该领域取得了一系列创新成果，已在JEMS、Mathematische Annalen、JFA、SIMA、CVPDE、PAMS等国际期刊发表论文二十余篇。