Thomas Cavallazzi

Quantitative approximation of a Keller–Segel PDE by a branching moderately interacting particle system and suppression of blow-up

Abstract The Keller–Segel PDE is a model for chemotaxis known to exhibit possible finite-time blow-up. Following a seminal work by Tello and Winkler (2007 Commun. Partial Differ. Equ. 32 849–77), a logistic damping term is added in this PDE and local well-posedness of mild soluti...