We study the relaxation problem for a hyperbolic system of balance laws which models the traffic flow. In particular we show, as the relaxation parameter tends to zero, away from the vacuum, the strong convergence to the equilibrium solution, which satisfies Kruzkov-type entropy conditions. A uniqueness result is provided. (C) 1997 Academic Press.
The zero relaxation limit for the hydrodynamic Whitham traffic flow model
MARCATI, PIERANGELO
1997-01-01
Abstract
We study the relaxation problem for a hyperbolic system of balance laws which models the traffic flow. In particular we show, as the relaxation parameter tends to zero, away from the vacuum, the strong convergence to the equilibrium solution, which satisfies Kruzkov-type entropy conditions. A uniqueness result is provided. (C) 1997 Academic Press.File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
1997_JDifferEqu_141_Lattanzio.pdf
accesso aperto
Tipologia:
Versione Editoriale (PDF)
Licenza:
Accesso gratuito
Dimensione
471.74 kB
Formato
Adobe PDF
|
471.74 kB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
