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

doi:10.1214/18-ECP183

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

National Research University
INRIA
Université Côte D’Azur

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	1-14
Number of pages	14
Journal	Electronic Communications in Probability
Volume	23
DOIs	https://doi.org/10.1214/18-ECP183
Publication status	Published - 1 Jan 2018
Externally published	Yes

Keywords

Chemotaxis model
Interacting particle system
Singular McKean-Vlasov SDE

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10.1214/18-ECP183

Cite this

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title = "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.",

keywords = "Chemotaxis model, Interacting particle system, Singular McKean-Vlasov SDE",

author = "Jabir, \{Jean Fran{\c c}ois\} and Denis Talay and Milica Toma{\v s}evi{\'c}",

year = "2018",

month = jan,

day = "1",

doi = "10.1214/18-ECP183",

language = "English",

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journal = "Electronic Communications in Probability",

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T1 - Mean-field limit of a particle approximation of the one-dimensional parabolic-parabolic keller-segel model without smoothing

AU - Jabir, Jean François

AU - Talay, Denis

AU - Tomašević, Milica

PY - 2018/1/1

Y1 - 2018/1/1

N2 - 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.

AB - 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.

KW - Chemotaxis model

KW - Interacting particle system

KW - Singular McKean-Vlasov SDE

U2 - 10.1214/18-ECP183

DO - 10.1214/18-ECP183

M3 - Article

AN - SCOPUS:85064639216

SN - 1083-589X

VL - 23

SP - 1

EP - 14

JO - Electronic Communications in Probability

JF - Electronic Communications in Probability

ER -

Mean-field limit of a particle approximation of the one-dimensional parabolic-parabolic keller-segel model without smoothing

Abstract

Keywords

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Cite this