Speaker: Professor from McGill University of CanadaTime: 3:30 p.m., July 3rd, 2025
Place: Room 332, No. 3 Building
Sponsor: SHNU College of Mathematics and Science
Introduction to the Speaker: Adjuvant Professor from McGill University in Canada, foreign senior scholar at JSPS of the Ministry of Education, Japan, and ranked among the top 0.98% of the world's top scientists in 2024. He was mainly engaged in qualitative analysis of solutions to Navier Stokes equations, Euler equations, Euler Poisson equations, and delayed reaction-diffusion equations. He Published over 140 papers in top academic journals such as ARMA, SIMA, CPDE, M3AS, with an H-index of 34, listed as top authors in SIMA and JDE by the American Mathematical Review, and his four papers are highly cited in ESI. He is a member of the editorial board of four SCI international journals, including Applied Analysis.
Introduction to the lecture：It is a survey of our recent studies on Fisher-KPP equations and Burgers equations with fast/slow diffusion with singularities. When the diffusion is degenerate with singular point u=0, the equations possess the so-called sharp traveling waves which are regionally degenerate. On the other hand, when the diffusion is fast diffusion, the equations become singular at u=0. The main concerns of this talk are to investigate the sharp traveling waves and their stabilities. Singularities for both the fast/slow diffusion cases cause the essential difficulty for the study.