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.
Vanishing Viscosity for Traffic on Networks with Degenerate Diffusivity / Coclite, Giuseppe Maria; di Ruvo, Lorenzo. - In: MEDITERRANEAN JOURNAL OF MATHEMATICS. - ISSN 1660-5446. - STAMPA. - 16:5(2019). [10.1007/s00009-019-1391-1]
Vanishing Viscosity for Traffic on Networks with Degenerate Diffusivity
Coclite, Giuseppe Maria
;
2019-01-01
Abstract
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.File in questo prodotto:
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