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

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math.PR2022★ 1 cited

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

Yoan Tardy

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, for gener…

math.AP2022

A simple proof of non-explosion for measure solutions of the Keller-Segel equation

Nicolas Fournier, Yoan Tardy

We give a simple proof, relying on a {\it two-particles} moment computation, that there exists a global weak solution to the -dimensional parabolic-elliptic Keller-Segel equatio…