Macroscopic models of collective motion and self-organization

Pierre Degond Individual-Based Models, self-propelled particles, self-alignment, Vicsekmodel, mean-field kinetic model, Fokker-Planck equation, macroscopic limit, von Mises-Fisher distribution, self-organized hydrodynamic Amic Frouvelle Universit´e Paris-Dauphine Jian-Guo Liu Duke University Sébastien Motsch University of Maryland Laurent Navoret Institut de Recherche Math´ematique Avanc´ee de Strasbourg

Mathematical Physics mathscidoc:1702.22004

Seminaire Laurent Schwartz , 11, (1), 1-27, 2013.1
In this paper, we review recent developments on the derivation and properties of macroscopic models of collective motion and self-organization. The starting point is a model of self-propelled particles interacting with its neighbors through alignment. We successively derive a mean-field model and its hydrodynamic limit. The resulting macroscopic model is the Self-Organized Hydrodynamics (SOH). We review the available existence results and known properties of the SOH model and discuss it in view of its possible extensions to other kinds of collective motion.
Individual-Based Models, self-propelled particles, self-alignment, Vicsekmodel, mean-field kinetic model, Fokker-Planck equation, macroscopic limit, von Mises-Fisher distribution, self-organized hydrodynamics
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@inproceedings{pierre2013macroscopic,
  title={Macroscopic models of collective motion and self-organization},
  author={Pierre Degond, Amic Frouvelle, Jian-Guo Liu, Sébastien Motsch, and Laurent Navoret},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170208215710808883318},
  booktitle={Seminaire Laurent Schwartz },
  volume={11},
  number={1},
  pages={1-27},
  year={2013},
}
Pierre Degond, Amic Frouvelle, Jian-Guo Liu, Sébastien Motsch, and Laurent Navoret. Macroscopic models of collective motion and self-organization. 2013. Vol. 11. In Seminaire Laurent Schwartz . pp.1-27. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170208215710808883318.
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