First order models and closure of the mass conservation equation in the mathematical theory of vehicular traffic flow |
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Authors: | Nicola Bellomo Vincenzo Coscia |
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Institution: | 1. Dipartimento di Matematica, Politecnico di Torino, Corso Duca degli Abruzzi 24, 10129 Torino, Italy;2. Dipartimento di Matematica, Università di Ferrara, Via Machiavelli 35, 44100 Ferrara, Italy |
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Abstract: | This article deals with a review and critical analysis of first order hydrodynamic models of vehicular traffic flow obtained by the closure of the mass conservation equation. The closure is obtained by phenomenological models suitable to relate the local mean velocity to local density profiles. Various models are described and critically analyzed in the deterministic and stochastic case. The analysis is developed in view of applications of the models to traffic flow simulations for networks of roads. Some research perspectives are derived from the above analysis and proposed in the last part of the paper. To cite this article: N. Bellomo, V. Coscia, C. R. Mecanique 333 (2005). |
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Keywords: | Continuum mechanics Traffic flow models Mass conservation Continuum models Nonlinear sciences Milieux continus Modèles de trafic routier Équation de conservation de la masse Modèles continus Nonlinéarité |
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