主讲人:梅茗 加拿大麦吉尔大学
时间:2025年7月3日15:30
地点:三号楼332室
举办单位:数理学院
主讲人介绍:梅茗,加拿大麦吉尔大学的Adjunct Professor,加拿大尚布兰学院的终身教授,江西师范大学特聘教授,日本文部省JSPS外国资深学者,国际学术机构 ScholarGPS 发布的2024全球顶尖科学家排名前0.98%。主要从事Navier-Stokes方程、欧拉方程、欧拉-泊松方程、时滞反应扩散方程解的定性分析等方面的研究,在ARMA, SIMA, CPDE, M3AS等一流学术刊物发表论文140 余篇,H-index为34,被《美国数学评论》列为SIMA及JDE的top authors,有4 篇论文是ESI 的高被引论文。是《Applicable Analysis》等4个SCI 国际期刊的编委,也一直是“科学探索奖”海外评审专家之一。
内容介绍: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.