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Fokker-Planck asymptotics for traffic flow models

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  • Starting from microscopic interaction rules we derive kinetic models of Fokker-Planck type for vehicular traffic flow. The derivation is based on taking a suitable asymptotic limit of the corresponding Boltzmann model. As particular cases, the derived models comprise existing models. New Fokker-Planck models are also given and their differences to existing models are highlighted. Finally, we report on numerical experiments.
    Mathematics Subject Classification: Primary: 90B20; Secondary: 35L65.


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