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Article Dans Une Revue Kinetic and Related Models Année : 2023

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

Résumé

We give a simple proof, relying on a two-particles moment computation, that there exists a global weak solution to the 2-dimensional parabolic-elliptic Keller-Segel equation when starting from any initial measure $f_0$ such that $f_0(\mathbb{R}^2) < 8π$.

Dates et versions

hal-03576860 , version 1 (16-02-2022)

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Citer

Nicolas Fournier, Yoan Tardy. A simple proof of non-explosion for measure solutions of the Keller-Segel equation. Kinetic and Related Models , 2023, 16, pp.178-186. ⟨hal-03576860⟩
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