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

被引：6

作者：

Jabir, Jean-Francois ^{[1
]}

Talay, Denis ^{[2
]}

Tomasevic, Milica ^{[3
]}

机构：

[1] Natl Res Univ, Higher Sch Econ, Shabolovka 28-11, Moscow, Russia

[2] Inria Sophia Antipolis, 2004 Route Lucioles, F-06902 Valbonne, France

[3] Univ Cote dAzur, Campus Valrose,Batiment M,28 Ave Valrose, F-06108 Nice 2, France

来源：

ELECTRONIC COMMUNICATIONS IN PROBABILITY | 2018年 / 23卷

关键词：

chemotaxis model; interacting particle system; singular McKean-Vlasov SDE; EXISTENCE;

D O I：

10.1214/18-ECP183

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

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.

引用

页码：1 / 14

页数：14

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