ON WEAK SOLUTIONS TO THE KINETIC CUCKER-SMALE MODEL WITH SINGULAR COMMUNICATION WEIGHTS

被引：0
|
作者：
Choi, Young-pil [1 ]
Jung, Jinwook [2 ,3 ]
机构：
[1] Yonsei Univ, Dept Math, 50 Yonsei Ro, Seoul 03722, South Korea
[2] Hanyang Univ, Dept Math, 222 Wangsimni Ro, Seoul 04763, South Korea
[3] Hanyang Univ, Res Inst Nat Sci, 222 Wangsimni Ro, Seoul 04763, South Korea
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2024年
基金：
新加坡国家研究基金会;
关键词：
Kinetic Cucker-Smale model; singular communication weights; weak solutions; log-Lipschitz estimate; FLOCKING DYNAMICS;
D O I：
10.1090/proc/16837
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
. We establish the local-in-time existence of weak solutions to the kinetic Cucker-Smale model with singular communication weights phi(x) = |x|-alpha with alpha is an element of (0, d). In the case alpha is an element of (0, d - 1], we also provide the uniqueness of weak solutions extending the work of Carrillo et al [MMCS, ESAIM Proc. Surveys, vol. 47, EDP Sci., Les Ulis, 2014, pp. 17-35] where the existence and uniqueness of weak solutions are studied for alpha is an element of (0, d - 1).
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页数：14
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