Existence of piecewise weak solutions of a discrete Cucker-Smale's flocking model with a singular communication weight

被引：72

作者：

Peszek, Jan ^{[1
]}

机构：

[1] Univ Warsaw, Inst Appl Math & Mech, PL-02097 Warsaw, Poland

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2014年 / 257卷 / 08期

关键词：

SELF-DRIVEN PARTICLES; MEAN-FIELD LIMIT; ORIENTATION INTERACTION; ASYMPTOTIC FLOCKING; DYNAMICS; EQUATIONS; BEHAVIOR; FORCES; SYSTEM;

D O I：

10.1016/j.jde.2014.06.003

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove existence of global C-1 piecewise weak solutions for the discrete Cucker-Smale's flocking model with a non-Lipschitz communication weight psi(s) = s(-alpha), 0 < alpha < 1. We also discuss the possibility of finite in time alignment of the velocities of the particles. (C) 2014 Elsevier Inc. All rights reserved.

引用

页码：2900 / 2925

页数：26

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