Propagation of chaos for a sub-critical Keller-Segel model

David Godinho (1) , Cristóbal Quiñinao (2)

1 LAMA - Laboratoire d'Analyse et de Mathématiques Appliquées
2 LJLL - Laboratoire Jacques-Louis Lions

This paper deals with a sub-critical Keller-Segel equation. Starting from the stochastic particle system associated with it, we show well-posedness results and the propagation of chaos property. More precisely, we show that the empirical measure of the system tends towards the unique solution of the limit equation as the number of particles goes to infinity.

Domaines: Probabilités [math.PR]; Equations aux dérivées partielles [math.AP]

David Godinho, Cristóbal Quiñinao. Propagation of chaos for a sub-critical Keller-Segel model. Annales de l'Institut Henri Poincaré, 2015, 51 (3), pp.965-992. ⟨hal-00834710⟩