A mixed ODE–PDE model for vehicular traffic
Copyright policy )A mixed ODE–PDE model for vehicular traffic
AbstractWe present a traffic flow model consisting of a gluing between the Lighthill–Whitham and Richards macroscopic model with a first‐order microscopic following the leader model. The basic analytical properties of this model are investigated. Existence and uniqueness are proved, as well as the basic estimates on the dependence of solutions from the initial data. Moreover, numerical integrations show some qualitative features of the model, in particular the transfer of information among regions where the different models are used. Copyright © 2014 John Wiley & Sons, Ltd.
- University of Milan Italy
- University of Brescia Italy
Traffic problems in operations research, Mathematics - Analysis of PDEs, Hyperbolic conservation laws, continuum traffic models, FOS: Mathematics, transfer of information, microscopic traffic models, Analysis of PDEs (math.AP)
Traffic problems in operations research, Mathematics - Analysis of PDEs, Hyperbolic conservation laws, continuum traffic models, FOS: Mathematics, transfer of information, microscopic traffic models, Analysis of PDEs (math.AP)
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