We consider the vanishing viscosity approximation of the traffic model, proposed by Lighthill, Whitham, and Richards, on a network composed by a single junction with n incoming and m outgoing roads. We prove that a 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.

Coclite, G., Garavello, M. (2010). Vanishing viscosity for traffic on networks. SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 42(4), 1761-1783 [10.1137/090771417].

Vanishing viscosity for traffic on networks

GARAVELLO, MAURO
2010

Abstract

We consider the vanishing viscosity approximation of the traffic model, proposed by Lighthill, Whitham, and Richards, on a network composed by a single junction with n incoming and m outgoing roads. We prove that a 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.
Articolo in rivista - Articolo scientifico
Compensated compactness; Conservation laws; Networks; Traffic model; Vanishing viscosity;
English
2010
42
4
1761
1783
none
Coclite, G., Garavello, M. (2010). Vanishing viscosity for traffic on networks. SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 42(4), 1761-1783 [10.1137/090771417].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/37051
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