The 2-D stochastic Keller-Segel particle model : existence and uniqueness

Patrick Cattiaux; Laure Pédèches

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arXiv · 1601.08026

The 2-D stochastic Keller-Segel particle model : existence and uniqueness

Patrick Cattiaux·Laure Pédèches

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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].

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Patrick Cattiaux, Laure Pédèches. 2016-01-29. The 2-D stochastic Keller-Segel particle model : existence and uniqueness. https://arxiv.org/abs/1601.08026

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