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Mean-field limit of a particle approximation of the one-dimensional parabolic--parabolic Keller-Segel model without smoothing

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.
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https://hal.inria.fr/hal-01668926
Contributor : Milica Tomasevic <>
Submitted on : Tuesday, October 16, 2018 - 3:02:45 PM
Last modification on : Thursday, July 8, 2021 - 5:55:49 PM

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Jean-Francois Jabir, Denis Talay, Milica Tomasevic. Mean-field limit of a particle approximation of the one-dimensional parabolic--parabolic Keller-Segel model without smoothing. Electronic Communications in Probability, Institute of Mathematical Statistics (IMS), 2018, 23 (84), pp.14. ⟨10.1214/18-ECP183⟩. ⟨hal-01668926v4⟩

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