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

Coclite GM, De Nitti N, Garavello M, Marcellini F (2021)

Publication Type: Journal article

Publication year: 2021

Journal

Networks and Heterogeneous Media American Institute of Mathematical Sciences (AIMS)

Book Volume: 16

Pages Range: 413-426

Journal Issue: 3

DOI: 10.3934/nhm.2021011

Abstract

We prove the convergence of the vanishing viscosity approximation for a class of 2x2 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 L-1 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.

Authors with CRIS profile

Nicola De Nitti Lehrstuhl für Dynamics, Control, Machine Learning and Numerics (Alexander von Humboldt-Professur)

Involved external institutions

Polytechnic University of Bari IT Italy (IT) University of Milano-Bicocca / Università degli Studi di Milano-Bicocca, UNIMIB IT Italy (IT) Università degli Studi di Brescia IT Italy (IT)

How to cite

APA:

Coclite, G.M., De Nitti, N., Garavello, M., & Marcellini, F. (2021). Vanishing viscosity for a 2 x 2 system modeling congested vehicular traffic. Networks and Heterogeneous Media, 16(3), 413-426. https://dx.doi.org/10.3934/nhm.2021011

MLA:

Coclite, Giuseppe Maria, et al. "Vanishing viscosity for a 2 x 2 system modeling congested vehicular traffic." Networks and Heterogeneous Media 16.3 (2021): 413-426.

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