Shenzhen University School of Mathematical Sciences  

Liyuan Scholars Colloquium Session 171

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

Speaker: Professor Ming Mei (Jiangxi Normal University)

Time: 14:30–16:00, May 29, 2026

Location: Room 1, Huixing Building, Yuehai Campus, Shenzhen University

Abstract:  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.

Speaker Profile: Ming Mei is a Distinguished Professor and doctoral advisor at Jiangxi Normal University. He received his Ph.D. in Science from Kanazawa University, Japan (1996), and serves as a tenured professor at Champlain College in Canada and an adjunct professor at McGill University. He is a JSPS Senior Foreign Researcher (2022), Senior Foreign Scholar of the National Natural Science Foundation of China (2024) (formerly “Overseas Outstanding Young Scientist”), and Changbai Mountain Chair Professor of Jilin Province (2015). He has consistently been ranked among the top 2% of scientists globally and the top 0.98% of mathematicians worldwide. He serves on the editorial boards of four SCI-indexed journals, including Applicable Analysis. His research focuses on partial differential equations in fluid mechanics and reaction-diffusion equations in mathematical biology. His research projects have consistently received funding from the Natural Sciences and Engineering Research Council of Canada (NSERC). He has published over 150 papers in leading journals such as ARMA and SIAM J. Math. Anal., four of which are ESI Highly Cited Papers. He is also among the top five most-cited authors in journals such as SIAM J. Math. Anal. and J. Diff. Equ.

All faculty and students are welcome!  

School of Mathematical Sciences  

May 18, 2026