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.
@article{SLSEDP_2012-2013____A1_0, author = {Pierre Degond and Amic Frouvelle and Jian-Guo Liu and Sebastien Motsch and Laurent Navoret}, title = {Macroscopic models of collective motion and self-organization}, journal = {S\'eminaire Laurent Schwartz {\textemdash} EDP et applications}, note = {talk:1}, pages = {1--27}, 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 = {https://proceedings.centre-mersenne.org/articles/10.5802/slsedp.32/} }
TY - JOUR AU - Pierre Degond AU - Amic Frouvelle AU - Jian-Guo Liu AU - Sebastien Motsch AU - Laurent Navoret TI - Macroscopic models of collective motion and self-organization JO - Séminaire Laurent Schwartz — EDP et applications N1 - talk:1 PY - 2012-2013 SP - 1 EP - 27 PB - Institut des hautes études scientifiques & Centre de mathématiques Laurent Schwartz, École polytechnique UR - https://proceedings.centre-mersenne.org/articles/10.5802/slsedp.32/ DO - 10.5802/slsedp.32 LA - en ID - SLSEDP_2012-2013____A1_0 ER -
%0 Journal Article %A Pierre Degond %A Amic Frouvelle %A Jian-Guo Liu %A Sebastien Motsch %A Laurent Navoret %T Macroscopic models of collective motion and self-organization %J Séminaire Laurent Schwartz — EDP et applications %Z talk:1 %D 2012-2013 %P 1-27 %I Institut des hautes études scientifiques & Centre de mathématiques Laurent Schwartz, École polytechnique %U https://proceedings.centre-mersenne.org/articles/10.5802/slsedp.32/ %R 10.5802/slsedp.32 %G en %F SLSEDP_2012-2013____A1_0
Pierre Degond; Amic Frouvelle; Jian-Guo Liu; Sebastien Motsch; Laurent Navoret. Macroscopic models of collective motion and self-organization. Séminaire Laurent Schwartz — EDP et applications (2012-2013), Talk no. 1, 27 p. doi : 10.5802/slsedp.32. https://proceedings.centre-mersenne.org/articles/10.5802/slsedp.32/
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