主講人：梅茗 加拿大麥吉爾大學(xué)

時(shí)間：2025年7月3日15：30

地點(diǎn)：三號(hào)樓332室

舉辦單位：數(shù)理學(xué)院

主講人介紹：梅茗，加拿大麥吉爾大學(xué)的Adjunct Professor,加拿大尚布蘭學(xué)院的終身教授，江西師范大學(xué)特聘教授，日本文部省JSPS外國(guó)資深學(xué)者，國(guó)際學(xué)術(shù)機(jī)構(gòu) ScholarGPS 發(fā)布的2024全球頂尖科學(xué)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(shí)滯反應(yīng)擴(kuò)散方程解的定性分析等方面的研究，在ARMA, SIMA, CPDE, M3AS等一流學(xué)術(shù)刊物發(fā)表論文140 余篇，H-index為34，被《美國(guó)數(shù)學(xué)評(píng)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(gè)SCI 國(guó)際期刊的編委，也一直是“科學(xué)探索獎(jiǎng)”海外評(píng)審專家之一。

內(nèi)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.