We deal with phase transition models for vehicular traffic on road networks. The models consider two different traffic regimes and are given by a scalar conservation law in the free phase and by a system of two conservation laws in the congested phase. We focus on the Riemann problem at a junction as a preliminary step for the study of the Cauchy problem on a road network.

The Riemann problem for a general phase transition model on networks

Edda Dal Santo;Massimiliano D. Rosini;
2018

Abstract

We deal with phase transition models for vehicular traffic on road networks. The models consider two different traffic regimes and are given by a scalar conservation law in the free phase and by a system of two conservation laws in the congested phase. We focus on the Riemann problem at a junction as a preliminary step for the study of the Cauchy problem on a road network.
2018
9783319915449
Conservation laws; Junction; Phase transitions; Road network; Vehicular traffic;
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11392/2412113
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