报告题目 (Title)：Singularity effects for advection-diffusion equations with fast/slow diffusion
中文标题：具有快/慢扩散的平流扩散方程的奇异效应
报告人 (Speaker)：梅茗
报告时间 (Time)：2025年7月5日15:30
报告地点 (Place)：校本部GJ303
邀请人(Inviter)：盛万成
报告摘要：This talk is a survey of our recent studies on Fisher-KPP equations and Burgers equations with fast/slow diffusion with singularities. When the diffusion is degenerate with singular point u=0, the equations possess the so-called sharp traveling waves which are regionally degenerate. On the other hand, when the diffusion is fast diffusion, the equations become singular at u=0. The main concerns of this talk are to investigate the sharp traveling waves and their stabilities. Singularities for both the fast/slow diffusion cases cause the essential difficulty for the study.