Macroscopic models of collective motion and self-organization
Séminaire Laurent Schwartz — EDP et applications (2012-2013), Exposé no. 1, 27 p.

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.

     author = {Degond, Pierre and Frouvelle, Amic and Liu, Jian-Guo and Motsch, Sebastien and Navoret, Laurent},
     title = {Macroscopic models of collective motion and self-organization},
     journal = {S\'eminaire Laurent Schwartz {\textemdash} EDP et applications},
     note = {talk:1},
     publisher = {Institut des hautes \'etudes scientifiques & Centre de math\'ematiques Laurent Schwartz, \'Ecole polytechnique},
     year = {2012-2013},
     doi = {10.5802/slsedp.32},
     language = {en},
     url = {}
Degond, Pierre; Frouvelle, Amic; Liu, Jian-Guo; Motsch, Sebastien; Navoret, Laurent. Macroscopic models of collective motion and self-organization. Séminaire Laurent Schwartz — EDP et applications (2012-2013), Exposé no. 1, 27 p. doi : 10.5802/slsedp.32.

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