Convergence of the empirical measure for the Keller-Segel model in both subcritical and critical cases

Abstract

We show the weak convergence, up to extraction of a subsequence, of the empirical measure for the Keller-Segel system of particles in both subcritical and critical cases. We use a simple two particles moment argument in order to show that the particle system does not explodes in finite time, uniformly in the number of particles in some sense.

Yoan Tardy
Yoan Tardy
PhD student