Seminar| Institute of Mathematical Sciences
Time: Wednesday, June 3th, 2026,16:00-17:00
Location: IMS, R408
Speaker: Jing An, Shanghai Jiao Tong University
Abstract: A classical problem in the study of the long-time behavior of advection–reaction–diffusion equations is to characterize the precise asymptotics of front locations. The strength of the advection term induces pushed-to-pulled front transitions, which can be captured by the so-called weighted Hopf–Cole transform. In this talk, I will revisit existing results on convergence to traveling waves in both the pulled and pushed regimes, and demonstrate how this transformation can be applied to the chemotaxis–FKPP system, an important nonlocal advection–reaction–diffusion model, to obtain refined front asymptotics for a wider range of parameters.