The Aw–Rascle vehicular traffic flow model with phase transitions

We introduce a new model of vehicular traffic flow with phase transitions. The model is obtained by coupling together the classical Lighthill–Whitham–Richards equation with the 2×2 system proposed by Aw and Rascle. This allows us both to correct some drawbacks of the original 2×2 system, and to obtain results that fit experimental data well. We describe the solutions of the Riemann problem, and we compare the results with those obtained using other models.