Special Session 6: Propagation dynamics of PDEs: recent progress and trends

Propagation for heterogeneous reaction-diffusion equations on adjacent domains
Andrea Tellini
Universidad Politécnica de Madrid
Spain
Co-Author(s):    Henri Berestycki, Luca Rossi
Abstract:
We consider a system of two Fisher-KPP-type reaction-diffusion equations formulated on adjacent domains, with different diffusion coefficients and reaction parameters. The two equations are coupled via a transmission condition at their common boundary. We will show how these heterogeneities influence the global behavior of the system, focusing in particular on the asymptotic speed of propagation. These results are based on a joint work with Henri Berestycki (EHESS - Paris) and Luca Rossi (Sapienza University - Rome).