From Particle to Kinetic and Hydrodynamic Descriptions of Flocking Seung-yeal Ha and Eitan Tadmor

@inproceedings{TadmorFromPT,
  title={From Particle to Kinetic and Hydrodynamic Descriptions of Flocking Seung-yeal Ha and Eitan Tadmor},
  author={Eitan Tadmor}
}
We discuss the Cucker-Smale's (C-S) particle model for flocking, deriving precise conditions for flocking to occur when pairwise interactions are sufficiently strong long range. We then derive a Vlasov-type kinetic model for the C-S particle model and prove it exhibits time-asymptotic flocking behavior for arbitrary compactly supported initial data. Finally… CONTINUE READING