2025皇冠hg·体育(中国)官方网站

非线性分析、微分方程与动力系统系列报告

本期组织：吴事良、薄伟健

主办单位：皇冠hg·体育(中国)官方网站

基金资助：国家自然科学基金、陕西省杰出青年科学基金

报告信息

(以姓氏拼音为序)

Singularity effects for advection-diffusion equations with fast/slow diffusion

Ming Mei(梅茗) McGill University and Champlain College

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.

报告人简介：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。