Well-posedness of weak and strong solutions to the kinetic Cucker-Smale model

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:264

Article

Jin, Chunyin¹ 

[1] Peking Univ, Beijing Int Ctr Math Res, Beijing 100871, Peoples R China

关键词: Well-posedness;    Strong solution;    Kinetic Cucker-Smale model;    Velocity averaging lemma;   

DOI  :  10.1016/j.jde.2017.10.001

来源: Elsevier

【 摘 要 】

In this paper, we develop a unified framework that can be used to establish the well-posedness of kinetic Cucker-Smale model with or without noise, for general initial data regardless of the supports; meanwhile we rigorously justify the vanishing noise limit. Our proof is based on weighted energy estimates and the velocity averaging lemma in kinetic theory. (c) 2017 Elsevier Inc. All rights reserved.

【 授权许可】

Free