Mean-field limit of a particle approximation of the one-dimensional parabolic--parabolic Keller-Segel model without smoothing - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Journal Articles Electronic Communications in Probability Year : 2018

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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Dates and versions

hal-01668926 , version 1 (20-12-2017)
hal-01668926 , version 2 (20-12-2017)
hal-01668926 , version 3 (19-01-2018)
hal-01668926 , version 4 (16-10-2018)

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Cite

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, 2018, 23 (84), pp.14. ⟨10.1214/18-ECP183⟩. ⟨hal-01668926v4⟩
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