Description
Several studies have investigated systems of reaction-diffusion partial differential equations (PDEs) in expanding domains with two distinct propagation speeds, one faster than the other. While the faster speed is straightforward to compute, determining the slower one remains challenging. Several PDEs works rigorously establish the so-called ”following travelling wave” speed. The objective this work is to argue that the speeds of the PDEs do not coincide with the speeds of a system of particles which converges to those PDEs. In other words, the limits in time and in N do not commute.
Auteur
Paul de Lambert
(ENS Lyon)