1 citations · 1 across the 4 of their papers we have counts for
5 papers
Existence, Uniqueness, Feller Property and Diricihlet form of the Keller-Segel particle system up to blow up
Yoan Tardy
The Keller-Segel particle system as defined in \cite{ft} through the Dirichlet form theory (see \cite{f}) consists of planar Brownian motions interacting through the kernel $x\…
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…
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…
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…
Collisions of the supercritical Keller-Segel particle system
Nicolas Fournier, Yoan Tardy
We study a particle system naturally associated to the -dimensional Keller-Segel equation. It consists of Brownian particles in the plane, interacting through a binary attra…