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Macroscopic models of collective motion and self-organization

Publication ,  Journal Article
Degond, P; Frouvelle, A; Liu, J-G; Motsch, S; Navoret, L
Published in: Séminaire Laurent Schwartz — EDP et applications
November 20, 2014
Published version (DOI) Publisher Link

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.

Duke Scholars

Jian-Guo Liu
Author Jian-Guo Liu Physics

Published In

Séminaire Laurent Schwartz — EDP et applications

DOI

10.5802/slsedp.32

EISSN

2266-0607

ISSN

3076-8713

Publication Date

November 20, 2014

Start / End Page

1 / 27

Publisher

MathDoc/Centre Mersenne
 

Citation

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ICMJE
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Degond, P., Frouvelle, A., Liu, J.-G., Motsch, S., & Navoret, L. (2014). Macroscopic models of collective motion and self-organization. Séminaire Laurent Schwartz — EDP et Applications, 1–27. https://doi.org/10.5802/slsedp.32
Degond, Pierre, Amic Frouvelle, Jian-Guo Liu, Sebastien Motsch, and Laurent Navoret. “Macroscopic models of collective motion and self-organization.” Séminaire Laurent Schwartz — EDP et Applications, November 20, 2014, 1–27. https://doi.org/10.5802/slsedp.32.
Degond P, Frouvelle A, Liu J-G, Motsch S, Navoret L. Macroscopic models of collective motion and self-organization. Séminaire Laurent Schwartz — EDP et applications. 2014 Nov 20;1–27.
Degond, Pierre, et al. “Macroscopic models of collective motion and self-organization.” Séminaire Laurent Schwartz — EDP et Applications, MathDoc/Centre Mersenne, Nov. 2014, pp. 1–27. Crossref, doi:10.5802/slsedp.32.
Degond P, Frouvelle A, Liu J-G, Motsch S, Navoret L. Macroscopic models of collective motion and self-organization. Séminaire Laurent Schwartz — EDP et applications. MathDoc/Centre Mersenne; 2014 Nov 20;1–27.

Published In

Séminaire Laurent Schwartz — EDP et applications

DOI

10.5802/slsedp.32

EISSN

2266-0607

ISSN

3076-8713

Publication Date

November 20, 2014

Start / End Page

1 / 27

Publisher

MathDoc/Centre Mersenne