Time-asymptotic interaction of flocking particles and an incompressible viscous fluid

Hyeong Ohk Bae, Young Pil Choi, Seung Yeal Ha, Moon Jin Kang

Research output: Contribution to journalArticlepeer-review

54 Citations (Scopus)


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.

Original languageEnglish
Pages (from-to)1155-1177
Number of pages23
Issue number4
Publication statusPublished - 2012 Apr

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Physics and Astronomy(all)
  • Applied Mathematics


Dive into the research topics of 'Time-asymptotic interaction of flocking particles and an incompressible viscous fluid'. Together they form a unique fingerprint.

Cite this