Vanishing Viscosity for Traffic on Networks with Degenerate Diffusivity

  • Giuseppe Maria CocliteEmail author
  • Lorenzo di Ruvo


We consider the vanishing viscosity approximation of the traffic model LWR with degenerate diffusivity on a networks composed by a single junction with n incoming and m outgoing roads. We prove that the solution of the parabolic approximation exists and, as the viscosity vanishes, the solution of the parabolic problem converges to a solution of the original problem.


Degenerate diffusivity vanishing viscosity traffic model networks compensated compactness conservation law 

Mathematics Subject Classification

90B20 35L65 



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Copyright information

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Authors and Affiliations

  1. 1.Dipartimento di Meccanica Matematica e ManagementPolitecnico di BariBariItaly
  2. 2.Dipartimento di MatematicaUniversità di BariBariItaly

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