Fokker-planck asymptotics for traffic flow models

Abstract

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. © American Institute of Mathematical Sciences.