Hydrodynamic limits of the kinetic self-organized models
Analysis of PDEs
2015-08-20 v1 Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.1508.04640,
title = {Hydrodynamic limits of the kinetic self-organized models},
author = {Ning Jiang and Linjie Xiong and Teng-Fei Zhang},
journal= {arXiv preprint arXiv:1508.04640},
year = {2015}
}
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22 pages