主講人:梅茗 加拿大麥吉爾大學
時間:2025年7月3日15:30
地點:三號樓332室
舉辦單位:數理學院
主講人介紹:梅茗,加拿大麥吉爾大學的Adjunct Professor,加拿大尚布蘭學院的終身教授,江西師范大學特聘教授,日本文部省JSPS外國資深學者,國際學術機構 ScholarGPS 發布的2024全球頂尖科學家排名前0.98%。主要從事Navier-Stokes方程、歐拉方程、歐拉-泊松方程、時滯反應擴散方程解的定性分析等方面的研究,在ARMA, SIMA, CPDE, M3AS等一流學術刊物發表論文140 余篇,H-index為34,被《美國數學評論》列為SIMA及JDE的top authors,有4 篇論文是ESI 的高被引論文。是《Applicable Analysis》等4個SCI 國際期刊的編委,也一直是“科學探索獎”海外評審專家之一。
內容介紹: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.