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.

引用

页数：38

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