On the Interactions of Flocking Particles with the Stokes Flow in an Infinite Channel

被引：0
|
作者：
Ko, Dongnam [1 ]
Bae, Hyeong-Ohk [2 ]
Ha, Seung-Yeal [3 ,4 ]
Hwang, Gyuyoung [5 ]
机构：
[1] Catholic Univ Korea, Dept Math, Bucheon 14662, Gyeonggido, South Korea
[2] Ajou Univ, Dept Financial Engn, Suwon, South Korea
[3] Seoul Natl Univ, Dept Math Sci, Seoul 08826, South Korea
[4] Seoul Natl Univ, Res Inst Math, Seoul 08826, South Korea
[5] Inst for Basic Sci Korea, Biomed Math Grp, Daejeon 34126, South Korea
来源：
JOURNAL OF MATHEMATICAL FLUID MECHANICS | 2024年 / 26卷 / 02期
基金：
新加坡国家研究基金会;
关键词：
Stokes equation; Cucker-Smale model; Energy; Numerical simulation; Asymptotic behavior; GLOBAL WEAK SOLUTIONS; UNIDIRECTIONAL FLOCKS; EXISTENCE; VLASOV; MODEL; DYNAMICS; SYSTEMS;
D O I：
10.1007/s00021-024-00876-1
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We present the global existence of weak solutions to the Cucker-Smale-Stokes system in an infinitely long cylindrical domain with the specular boundary condition. The proposed system consists of the kinetic Cucker-Smale model and the Stokes system for flocking particles and an incompressible fluid, respectively, in an infinitely long cylindrical domain. It models the collective dynamics resulting from the fluid-particle-structure interactions. For this model, we provide the global existence of a weak solution and numerical simulations that exhibit collective behaviors of flocking particles.
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页数：38
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