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）

时  间：2026年8月7日15:00

地  点：海韵园行政楼C610

内容摘要:

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.

个人简介：

梅茗，江西师范大学特聘教授、博士生导师。日本金泽大学理学博士（1996），加拿大Champlain学院终身教授及McGill大学Adjunct Professor，日本JSPS外国资深学者（2022），中国国家基金委外国资深学者(2024)，国家科技部海外高端人才合作研究项目主要参与者，一直入选全球2%顶级科学家，及全球数学0.98%顶级学者。Applicable Analysis等4个SCI国际数学杂志的编委。“科学探索奖”海外评审专家。主要从事流体力学偏微分方程及生物数学中反应扩散方程的研究，在Arch. Rational Mech.Anal., J. London Math. Soc., SIAM J. Math. Anal.等发表论文150余篇论文，其中4篇论文为ESI高被引论文。

联系人：王焰金