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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.AP2026

Strong well-posedness of a singular SDE for signed Coulomb particles

Patrick van Meurs, Yoan Tardy

We consider an SDE system for signed Coulomb particles moving in . Due to the singular Coulomb interaction force, collisions between particles of opposite sign will ha…

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…