A simple kinetic equation of swarm formation: Blow-up and global existence

被引：9
作者：
Lachowicz, Miroslaw [1 ,2 ]
Leszczynski, Henryk [3 ]
Parisot, Martin [4 ,5 ,6 ,7 ]
机构：
[1] Univ Warsaw, Fac Math Informat & Mech, Inst Appl Math & Mech, Ul Banacha 2, PL-02097 Warsaw, Poland
[2] Univ KwaZulu Natal, Sch Math Stat & Comp Sci, Durban, South Africa
[3] Univ Gdansk, Inst Math, Ul Wita Stwosza 57, PL-80952 Gdansk, Poland
[4] INRIA, ANGE Project Team, F-78153 Le Chesnay, France
[5] CEREMA, F-60280 Margny Les Compiegne, France
[6] CNRS, Lab Jacques Louis Lions, UMR 7598, F-75005 Paris, France
[7] Univ Paris 06, Sorbonne Univ, Lab Jacques Louis Lions, UMR 7598, F-75005 Paris, France
来源：
APPLIED MATHEMATICS LETTERS | 2016年 / 57卷
关键词：
Blow-up; Global existence; Kinetic equation;
D O I：
10.1016/j.aml.2016.01.008
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In the present paper we identify both blow-up and global existence behaviors for a simple but very rich kinetic equation describing of a swarm formation. (C) 2016 Elsevier Ltd. All rights reserved.
引用
收藏
页码：104 / 107
页数：4
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