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

Cited 29 time in webofscience Cited 0 time in scopus
  • Hit : 65
  • Download : 0
We present a new coupled kinetic-fluid model for the interactions between Cucker-Smale (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 Navier-Stokes 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.
Publisher
IOP PUBLISHING LTD
Issue Date
2012-04
Language
English
Article Type
Article
Citation

NONLINEARITY, v.25, no.4

ISSN
0951-7715
DOI
10.1088/0951-7715/25/4/1155
URI
http://hdl.handle.net/10203/278736
Appears in Collection
MA-Journal Papers(저널논문)
Files in This Item
There are no files associated with this item.
This item is cited by other documents in WoS
⊙ Detail Information in WoSⓡ Click to see webofscience_button
⊙ Cited 29 items in WoS Click to see citing articles in records_button

qr_code

  • mendeley

    citeulike


rss_1.0 rss_2.0 atom_1.0