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
LATTANZIO, CORRADO;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:
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