勷勤数学•专家报告

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

报  告  人： 梅茗 教授  (邀请人：李颖花)

                                    加拿大麦吉尔大学

时      间： 5月28日  16：00-17:00

地     点：数科院东楼401

报告人简介:

       梅茗，加拿大麦吉尔大学Adjunct Professor，加拿大尚布兰学院终身教授，江西师范大学特聘教授，国家基金委外国资深学者，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。

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.

          欢迎老师、同学们参加、交流！