Work

Macroscopic models of collective motion and self-organization

Year: 2013

Type: preprint

Abstract: 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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.1304.6040

Authors: Degond, Pierre, Frouvelle, Amic, Liu, Jian-Guo, Motsch, Sébastien, Navoret, Laurent

Institutions: Centre de Recherche en Mathématiques de la Décision, Institut de Recherche Mathématique Avancée

Language: English

Topic: Distributed Control Multi-Agent Systems

Subfield: Computer Networks and Communications

Field: Computer Science

Domain: Physical Sciences

Open Access status: green

Funder: Agence Nationale de la Recherche

Awards: G3038135699, G3230658157

OpenAlex ID: W4301244573

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