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• W2016535998 abstract "We investigate the relations between a macroscopic Lighthill-Whitham and Richards model and a microscopic follow-the-leader model for traffic flow. Solutions to the microscopic model are proved to tend to those to the macroscopic one in a sort of kinetic limit, i.e. as the number of individuals tends to $+ infty$ while their total mass is constant. Based on this convergence result, we approximately compute the solutions to a conservation law by means of the integration of an ordinary differential system." @default.
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• W2016535998 date "2014-01-01" @default.
• W2016535998 modified "2023-09-30" @default.
• W2016535998 title "On the Micro-Macro limit in traffic flow" @default.
• W2016535998 doi "https://doi.org/10.4171/rsmup/131-13" @default.
• W2016535998 hasPublicationYear "2014" @default.
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