Zu Chongzhi Research Seminar

Date and Time (China standard time): Monday, August 25, 4:00 pm – 5:00 pm

Location: IB 2013

Zoom: 919 0975 4935, Passcode: dkumath

Title: Reaction Enhancement by Flux-limited Chemotaxis

Speaker: Jing An (Shanghai Jiao Tong University)

Abstract: Chemotaxis plays a central role in many biological and ecological processes, often enhancing the efficiency of underlying reactions. In this talk, I will present reaction–diffusion models that incorporate chemotaxis. I will focus on the flux-limited chemotaxis model, which describes how two reacting densities exhibit mutual chemotactic behavior. The main result is a rigorous derivation of scaling laws that quantify how chemotaxis affects the typical reaction time scale. If time permits, I will also discuss the chemotaxis–KPP equation and highlight recent results on precise front propagation asymptotics in relation to chemotaxis parameters.

Bio: Jing An is currently a tenure-track associate professor at Shanghai Jiao Tong University.  She received her Ph.D. in Computational and Mathematical Engineering from Stanford University in 2021. She subsequently held postdoctoral positions at the Max Planck Institute for Mathematics in the Sciences and Duke University. Her research focuses on the mathematical foundations of machine learning and data science, as well as on evolution equations, including reaction–diffusion systems.