Speaker: Paul Zhang, UC San Diego

 

Title: Optimal Estimates on the Propagation of Reactions with Fractional Diffusion

Abstract: We study the reaction-fractional-diffusion equation \(u_t+(-\Delta)^s u=f(u)\) with ignition and monostable reactions \(f\), and \(s\in (0,1)\). We obtain the first optimal bounds  on the propagation of front-like solutions in the cases where no traveling fronts exist. Our results cover most of these cases, and also apply to propagation from localized initial data.

 

This is a joint work with A. Zlatos.