Hydrodynamic limits of the kinetic self-organized models

The self-organized hydrodynamic models can be derived from the kinetic version of the Vicsek model. The formal derivations and local well-posedness of the macroscopic equations are done by Degond and his collaborators. In this paper, we rigorously justify this hydrodynamic limit.

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Bibliographic Details
Main Authors:	Jiang, Ning, Xiong, Linjie, Zhang, Teng-Fei
Format:	Journal Article
Language:	English
Published:	19-08-2015
Subjects:	Mathematics - Analysis of PDEs Mathematics - Mathematical Physics Physics - Mathematical Physics
Online Access:	Get full text
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Description
Summary:	The self-organized hydrodynamic models can be derived from the kinetic version of the Vicsek model. The formal derivations and local well-posedness of the macroscopic equations are done by Degond and his collaborators. In this paper, we rigorously justify this hydrodynamic limit.
DOI:	10.48550/arxiv.1508.04640