We prove the convergence of the vanishing viscosity approximation for a class of 2×2 systems of conservation laws, which includes a model of traffic flow in congested regimes. The structure of the system allows us to avoid the typical constraints on the total variation and the L1 norm of the initial data. The key tool is the compensated compactness technique, introduced by Murat and Tartar, used here in the framework developed by Panov. The structure of the Riemann invariants is used to obtain the compactness estimates.

Coclite, G., De Nitti, N., Garavello, M., Marcellini, F. (2021). Vanishing viscosity for a 2 × 2 system modeling congested vehicular traffic. NETWORKS AND HETEROGENEOUS MEDIA, 16(3), 413-426 [10.3934/nhm.2021011].

Vanishing viscosity for a 2 × 2 system modeling congested vehicular traffic

Garavello M.;Marcellini F.
2021

Abstract

We prove the convergence of the vanishing viscosity approximation for a class of 2×2 systems of conservation laws, which includes a model of traffic flow in congested regimes. The structure of the system allows us to avoid the typical constraints on the total variation and the L1 norm of the initial data. The key tool is the compensated compactness technique, introduced by Murat and Tartar, used here in the framework developed by Panov. The structure of the Riemann invariants is used to obtain the compactness estimates.
Articolo in rivista - Articolo scientifico
Compensated compactness; Conservation laws; Hyperbolic systems; Traffic flow; Vanishing viscosity;
English
2021
16
3
413
426
partially_open
Coclite, G., De Nitti, N., Garavello, M., Marcellini, F. (2021). Vanishing viscosity for a 2 × 2 system modeling congested vehicular traffic. NETWORKS AND HETEROGENEOUS MEDIA, 16(3), 413-426 [10.3934/nhm.2021011].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/335869
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