Hydrodynamic limits of the kinetic self-organized models

2015/08/19 by Jiang, Ning, Xiong, Linjie, Zhang, Teng-Fei · 1 citation
#35Q35 #35Q84 #35R01 #82C05 #82C22 #92D50 #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph)

paper · doi:10.48550/arxiv.1508.04640

Abstract

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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• The Vicsek-Kuramoto model in collective dynamics: macroscopic equations and pattern formation

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