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2018 Mean-field limit of a particle approximation of the one-dimensional parabolic-parabolic Keller-Segel model without smoothing
Jean-François Jabir, Denis Talay, Milica Tomašević
Electron. Commun. Probab. 23: 1-14 (2018). DOI: 10.1214/18-ECP183

Abstract

In this work, we prove the well–posedness of a singularly interacting stochastic particle system and we establish propagation of chaos result towards the one-dimensional parabolic-parabolic Keller-Segel model.

Citation

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Jean-François Jabir. Denis Talay. Milica Tomašević. "Mean-field limit of a particle approximation of the one-dimensional parabolic-parabolic Keller-Segel model without smoothing." Electron. Commun. Probab. 23 1 - 14, 2018. https://doi.org/10.1214/18-ECP183

Information

Received: 29 January 2018; Accepted: 15 October 2018; Published: 2018
First available in Project Euclid: 30 October 2018

zbMATH: 1402.60129
MathSciNet: MR3873791
Digital Object Identifier: 10.1214/18-ECP183

Subjects:
Primary: 60H10, 60H30, 60K35

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