Some aspects of the inertial spin model for flocks and related kinetic equations

@article{Benedetto2019SomeAO,
  title={Some aspects of the inertial spin model for flocks and related kinetic equations},
  author={Dario Benedetto and Paolo Butt{\`a} and Emanuele Caglioti},
  journal={Mathematical Models and Methods in Applied Sciences},
  year={2019}
}
In this paper, we study the macroscopic behavior of the inertial spin (IS) model. This model has been recently proposed to describe the collective dynamics of flocks of birds, and its main feature is the presence of an auxiliary dynamical variable, a sort of internal spin, which conveys the interaction among the birds with the effect of better describing the turning of flocks. After discussing the geometrical and mechanical properties of the IS model, we show that, in the case of constant… 

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