Stability of viscous shock waves for Burgers equation with double singularities in viscosity and flux

报告题目：Stability of viscous shock waves for Burgers equation with double singularities in viscosity and  flux

报告人：  梅茗   江西师范大学  

报告时间：2026年4月27日上午10:00-10:40

报告地点：红瓦楼726

报告内容简介：This talk is concerned with Burgers equation with singular viscosity and singular flux. We realize that, when the singularity for flux is less than the singularity of viscosity, there exists smooth viscous shock wave, otherwise the shock wave does not exist. The main issue is to show the stability of these shock waves. To overcome the singularities caused by viscosity and flux, we use the weighted energy method, where the selection of weights are technical and play a crucial role in the proof. This talk is based on a series of studies joint with Dr. Xiaowen Li, Prof. Jingyu Li, Prof. Jean-Christophe Nave, Prof. Wancheng Sheng, and Dr. Shufang Xu.

报告人简介：梅茗教授，加拿大McGill大学兼职教授及Champlain学院的终身教授，博士生导师。2015年被聘为吉林省“长白山学者”讲座教授，以及东北师范大学“东师学者”讲座教授。主要从事流体力学中偏微分方程和生物数学中带时滞反应扩散方程研究，在ARMA, SIAM, JDE, Commun.PDEs 等高水平杂志上发表论文100多篇，是多家SCI国际数学杂志的编委。并一直承担加拿大自然科学基金项目，魁北克省自然科学基金项目，及魁北克省大专院校国际局的基金项目。

报告邀请人：廖杰