English

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

Probability 2013-06-18 v1 Analysis of PDEs

Abstract

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.

Keywords

Cite

@article{arxiv.1306.3831,
  title  = {Propagation of chaos for a sub-critical Keller-Segel model},
  author = {David Godinho and Cristobal Quininao},
  journal= {arXiv preprint arXiv:1306.3831},
  year   = {2013}
}