The 2-D stochastic Keller-Segel particle model: existence and uniqueness

被引：0

作者：

Cattiaux, Patrick ^{[1
]}

Pedeches, Laure ^{[1
]}

机构：

[1] Univ Toulouse, Inst Math Toulouse, CNRS UMR 5219, 118 Route Narbonne, F-31062 Toulouse 09, France

来源：

ALEA-LATIN AMERICAN JOURNAL OF PROBABILITY AND MATHEMATICAL STATISTICS | 2016年 / 13卷 / 01期

关键词：

Keller-Segel model; diffusion processes; Bessel processes; APPROXIMATION; PROPAGATION; EQUATIONS; SYSTEM; CHAOS;

D O I：

暂无

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：

We introduce a stochastic system of interacting particles which is expected to furnish, as the number of particles goes to infinity, a stochastic approach of the 2-D Keller-Segel model. In this note, we prove existence and some uniqueness for the stochastic model for the parabolic-elliptic Keller-Segel equation, for all regimes under the critical mass. Prior results for existence and weak uniqueness have been very recently obtained by Fournier and Jourdain (2015).

引用

页码：447 / 463

页数：17

共 17 条

[1]

[Anonymous], 1999, FUNDAMENTAL PRINCIPL

[2]

Blanchet A., 2012, METHODES VARIATIONNE

[3] On symmetric and skew Bessel processes [J].