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

Abstract

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 whose mass is smaller than 8\pi.

Yoan Tardy
Yoan Tardy
PhD student