8th PRCM: Yihong Du, Propagation, diffusion and free boundaries (plenary)

Abstract: In this talk I will discuss some of the mathematical theories on nonlinear partial differential equations motivated by the desire of providing better models for various propagation phenomena. The talk will start with classical works of Fisher, Kolmogorov-Petrovskii-Piskunov and Aronson-Weinberger, and then focus on recent results on free boundary models with local as well as nonlocal diffusion, which are variations of the models in the classical works.