THE KINETIC CUCKER-SMALE MODEL: WELL-POSEDNESS AND ASYMPTOTIC BEHAVIOR

被引：16

作者：

Chen, Zili ^{[1
]}

Yin, Xiuxia ^{[1
]}

机构：

[1] Nanchang Univ, Sch Sci, Dept Math, Nanchang 330031, Jiangxi, Peoples R China

来源：

SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 2019年 / 51卷 / 05期

基金：

中国国家自然科学基金;

关键词：

Cucker-Smale model; asymptotic behavior; velocity-spatial moment; velocity-spatial support; VLASOV-POISSON SYSTEM; GLOBAL EXISTENCE; FLOCKING DYNAMICS; WEAK SOLUTIONS; TIME DECAY; MOMENTS; PROPAGATION; REGULARITY; EQUATION; LIMIT;

D O I：

10.1137/18M1215001

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider well-posedness and asymptotic behavior of solutions to the kinetic Cucker-Smale model. Based on a new Lyapunov functional, we establish the global existence and uniqueness of classical solutions as well as measure-valued solutions if the initial data have compact velocity-spatial support. We also get a global weak solution if the initial datum has a bounded velocity-spatial moment of order 1. Moreover, some velocity-spatial moments decay for these solutions.

引用

页码：3819 / 3853

页数：35

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