报告题目：Sharp viscous shock waves for relaxation model with degeneracy

报告人：梅茗教授 McGill University & Champlain College 加拿大

报告时间：2025年6月25日  9:00-10:00

报告地点：腾讯会议 ID：357-780-178

或点击链接直接加入会议：//meeting.tencent.com/dm/cWHEbODne2iW

校内联系人：刘长春 [email protected]

报告摘要：

This talk is concerned with a relaxation model with degeneracy. Different from the existing studies on the regular viscous shock waves, we recognize that, when the sub-characteristic condition is degenerate, the dynamical system  possesses sharp viscous shock waves, a new type of viscous shock waves with sharp corners and being regionally degenerate in a half space. The regularities of these sharp viscous shock waves are further derived. Some of them can be smooth due to different degree of degeneracy, but most of them are Hölder continuous with sharp corners. The exact sharp viscous shock waves are constructed for three typical equations, and the corresponding numerical simulations with given initial data are also presented, which perfectly match the exact sharp viscous shock waves, and also numerically demonstrate the stability of sharp shock waves. This is a joint work with Shufang Xu, Wancheng Shen, and Zejia Wang.

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，国家基金委外国资深学者（原“海外杰青”），科技部海外高端人才，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, M3AS等一流学术刊物发表论文140 余篇，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”评审专家之一。