A mixed ODE–PDE model for vehicular traffic |
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| Authors: | Rinaldo M. Colombo Francesca Marcellini |
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| Affiliation: | 1. Unità INdAM, Università degli Studi di Brescia, Via Branze, 38, 25123 Brescia, Italy;2. Dip. di Matematica e Applicazioni, Università di Milano – Bicocca, Via Cozzi, 55, 20125 Milano, Italy |
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| Abstract: | We 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. |
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| Keywords: | continuum traffic models hyperbolic systems of conservation laws microscopic traffic models |
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