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

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arxiv 1601.08026 v1 pith:5J2EOWW5 submitted 2016-01-29 math.PR

Patrick Cattiaux (IMT) , Laure Pédèches (IMT) This is my paper · ORCID
classification math.PR
keywords stochasticexistencekeller-segelmodeluniquenessparticlesapproachbeen
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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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  1. The microscopic derivation and well-posedness of the stochastic Keller-Segel equation

    math.AP 2019-08 accept novelty 6.0 of 10

    A stochastic Keller-Segel equation with common environmental noise is shown to be well-posed and to arise as the mean-field limit of an interacting particle system.

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