A hydrodynamic model for the interaction of Cucker-Smale particles and incompressible fluid
2015.01.23 09:49
| 실적년도 | 2014년 |
|---|---|
| 논문구분 | 국외 |
| 총저자 | Seung-Yeal Ha, Moon-Jin Kang, Bongsuk Kwon |
| 학술지명 | Mathematical Models and Methods in Applied Sciences |
| 권(Vol.) | 2311 |
| 호(No.) | 2359 |
| 게재년월 | 2014년 10월 |
| Impact Factor | 2.531(jcr2013) |
| SCI 등재 | SCI |
| 비고 |
•실적년도 : 2014
•논문구분 : 국외
•총 저자 : Seung-Yeal Ha, Moon-Jin Kang, Bongsuk Kwon
•학술지명 : Mathematical Models and Methods in Applied Sciences
•권(Vol.) : 2311
•게재년월 : 2014년 10월
•IF : 2.531(jcr2013)
•SCI 등재 : SCI
•국제공동연구 논문여부 : X
•기여도 : 33%
•
Abstract : We present a new hydrodynamic model for the interactions between collision-free Cucker–Smale flocking particles and a viscous incompressible fluid. Our proposed model consists of two hydrodynamic models. For the Cucker–Smale flocking particles, we employ the pressureless Euler system with a non-local flocking dissipation, whereas for the fluid, we use the incompressible Navier–Stokes equations. These two hydrodynamic models are coupled through a drag force, which is the main flocking mechanism between the particles and the fluid. The flocking mechanism between particles is regulated by the Cucker–Smale model, which accelerates global flocking between the particles and the fluid. We show that this model admits the global-in-time classical solutions, and exhibits time-asymptotic flocking, provided that the initial data is appropriately small. In the course of our analysis for the proposed system, we first consider the hydrodynamic Cucker–Smale equations (the pressureless Euler system with a non-local flocking dissipation), for which the global existence and the time-asymptotic behavior of the classical solutions are also investigated.
A hydrodynamic model for the interaction of Cucker-Smale particles and incompressible fluid.pdf
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