We extend the Phase Transition model for traffic proposed in [8], by Colombo, Marcellini, and Rascle to the network case. More precisely, we consider the Riemann problem for such a system at a general junction with n incoming and m outgoing roads. We propose a Riemann solver at the junction which conserves both the number of cars and the maximal speed of each vehicle, which is a key feature of the Phase Transition model. For special junctions, we prove that the Riemann solver is well defined

Garavello, M., Marcellini, F. (2017). The Riemann problem at a junction for a Phase Transition traffic model. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 37(10), 5191-5209 [10.3934/dcds.2017225].

The Riemann problem at a junction for a Phase Transition traffic model

Garavello, M
;
Marcellini, F.
2017

Abstract

We extend the Phase Transition model for traffic proposed in [8], by Colombo, Marcellini, and Rascle to the network case. More precisely, we consider the Riemann problem for such a system at a general junction with n incoming and m outgoing roads. We propose a Riemann solver at the junction which conserves both the number of cars and the maximal speed of each vehicle, which is a key feature of the Phase Transition model. For special junctions, we prove that the Riemann solver is well defined
Articolo in rivista - Articolo scientifico
Continuum traffic models; Hyperbolic systems of conservation laws; Phase Transition model; Riemann problem; Riemann solver; Analysis; Discrete Mathematics and Combinatorics; Applied Mathematics
English
2017
37
10
5191
5209
reserved
Garavello, M., Marcellini, F. (2017). The Riemann problem at a junction for a Phase Transition traffic model. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 37(10), 5191-5209 [10.3934/dcds.2017225].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/178499
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