Time-asymptotic interaction of flocking particles and an incompressible viscous fluid
2014.07.23 11:48
| 실적년도 | 2012년 |
|---|---|
| 논문구분 | 국외 |
| 총저자 | Hyeong-Ohk Bae, Young-Pil Choi, Seung-Yeal Ha, Moon-Jin Kang |
| 학술지명 | Nonlinearity |
| 권(Vol.) | 25 |
| 호(No.) | 4 |
| 게재년월 | 2012년 4월 |
| Impact Factor | |
| SCI 등재 | SCI |
| 비고 |
We present a new coupled kinetic-fluid model for the interactions between CuckerSmale (C-S) flocking particles and incompressible fluid on the periodic spatial domain T d. Our coupled system consists of the kinetic C-S equation and the incompressible NavierStokes equations, and these two systems are coupled through the drag force. For the proposed model, we provide a global existence of weak solutions and a priori time-asymptotic exponential flocking estimates for any smooth flow, when the kinematic viscosity of the fluid is sufficiently large. The velocity of individual C-S particles and fluid velocity tend to the averaged time-dependent particle velocities exponentially fast.
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