Report Title：Stability of viscous shock waves for Burgers equation with double singularities in viscosity and flux
Reporter：Professor Mei Ming
Affiliation: McGill University & Champlain College, Canada
Report Time:9:30-10:30 June 25,2026
Report Location:Tencent Meeting ID: 813-807-001
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https://meeting.tencent.com/dm/gE3tgk9ogcgv
University Contact: Liu Changchun (liucc@jlu.edu.cn)
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.
Bio:
Mei Ming is an Adjunct Professor at McGill University in Canada, a Tenured Professor at Chambord College in Canada, a Distinguished Professor at Jiangxi Normal University, a Foreign Senior Scholar of the National Science Foundation (formerly known as "Overseas Outstanding Young Scholar"), an Overseas High-end Talent of the Ministry of Science and Technology, a Foreign Senior Scholar of the Japan Society for the Promotion of Science (JSPS), and ranked among the top 0.98% of the world's top scientists for 2024 according to ScholarGPS, an international academic institution. She primarily focuses on research in the qualitative analysis of solutions to Navier-Stokes equations, Euler equations, Euler-Poisson equations, and delay reaction-diffusion equations. She has published over 140 papers in top academic journals such as ARMA, SIMA, and M3AS, and is listed as a top author for SIMA and JDE by American Mathematical Reviews. Four of her papers are ESI Highly Cited Papers. She serves as an editorial board member for four SCI international journals, including Applicable Analysis, and has been a reviewer for the Scientific Exploration Award.
