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.