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

Publication date: 10 May 2022

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.

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