The Aw-Rascle vehicular traffic flow model with phase transitions

  title={The Aw-Rascle vehicular traffic flow model with phase transitions},
  author={Paola Goatin},
  journal={Mathematical and Computer Modelling},
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. c © 2006 Elsevier Ltd. All rights… CONTINUE READING
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