HOLDER CONTINUOUS SOLUTIONS TO THE KINETIC CUCKER-SMALE MODEL WITH SUPER-COULOMBIC SINGULAR WEIGHTS

被引：0
|
作者：
Choi, Young-pil [1 ]
Jung, Jinwook [2 ]
机构：
[1] Yonsei Univ, Dept Math, 50 Yonsei Ro, Seoul 03722, South Korea
[2] Hanyang Univ, Res Inst Nat Sci, Dept Math, 222 Wangsimni Ro, Seoul 04763, South Korea
来源：
KINETIC AND RELATED MODELS | 2025年
关键词：
Kinetic Cucker-Smale model; singular communication weights; well-posedness; H & ouml; lder continuous solutions; FLOCKING DYNAMICS;
D O I：
10.3934/krm.2025005
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we provide the local-in-time existence and uniqueness of H & ouml;lder continuous solutions to the kinetic Cucker-Smale model with super-Coulombic singular communication weights phi(alpha)(x) = |x|(-alpha) with alpha is an element of (d-1,d), d >= 2. We construct the local-in-time unique C-0,C-beta-solution with beta > 1 - (d-alpha) based on the method of characteristics. The stability of constructed solutions is obtained in the negative Sobolev space H-center dot(-(d-alpha))(R(d )x R-d).
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页数：13
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