Existence of solutions to a boundary value problem for a phase transition traffic model

نویسنده

  • Francesca Marcellini
چکیده

We consider the initial boundary value problem for the phase transition traffic model introduced in [9], which is a macroscopic model based on a 2 × 2 system of conservation laws. We prove existence of solutions by means of the wave-front tracking technique, provided the initial data and the boundary conditions have finite total variation. 2000 Mathematics Subject Classification: 35L65, 90B20

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عنوان ژورنال:
  • NHM

دوره 12  شماره 

صفحات  -

تاریخ انتشار 2017