The 2-D stochastic Keller-Segel particle model : existence and uniqueness
Probability
2016-02-01 v1
Abstract
We introduce a stochastic system of interacting particles which is expected to furnish as the number of particles goes to infinity a stochastic approach of the 2-D Keller-Segel model. In this note, we prove existence and some uniqueness for the stochastic model for the parabolic-elliptic Keller-Segel equation, for all regimes under the critical mass. Prior results for existence and weak uniqueness have been very recently obtained by N. Fournier and B. Jourdain [6].
Cite
@article{arxiv.1601.08026,
title = {The 2-D stochastic Keller-Segel particle model : existence and uniqueness},
author = {Patrick Cattiaux and Laure Pédèches},
journal= {arXiv preprint arXiv:1601.08026},
year = {2016}
}