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Hydrodynamic limits of the kinetic self-organized models

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arxiv 1508.04640 v1 pith:JMY3JOZH submitted 2015-08-19 math.AP math-phmath.MP

classification math.APmath-phmath.MP
keywords hydrodynamickineticmodelsself-organizedcollaboratorsdegondderivationsderived
verification ladder T0 review T1 audit T2 compute T3 formal
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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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