Existence of \textbf{BV} solutions for a non-conservative constrained aw-rascle-Zhang model for vehicular traffic

DOI10.1016/J.JMAA.2018.07.025zbMath1403.90224OpenAlexW2804248858MaRDI QIDQ1659280

Nikodem S. Dymski, Massimiliano Daniele Rosini, Paola Goatin

Publication date: 15 August 2018

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2018.07.025

zbMATH Keywords

hyperbolic systems of conservation lawstraffic flow modelingwave-front trackinglocal flux constraint

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) Traffic problems in operations research (90B20)

Related Items (6)

Coherence and chattering of a one‐way valve ⋮ An existence result for a constrained two-phase transition model with metastable phase for vehicular traffic ⋮ A Macroscopic Traffic Flow Model Accounting for Bounded Acceleration ⋮ Entropy solutions for a two-phase transition model for vehicular traffic with metastable phase and time depending point constraint on the density flow ⋮ Coherence of Coupling Riemann Solvers for Gas Flows Through Flux-Maximizing Valves ⋮ A Macroscopic Model for Platooning in Highway Traffic

Cites Work

• Unnamed Item
• Unnamed Item
• Macroscopic models for vehicular flows and crowd dynamics: theory and applications. Classical and non-classical advanced mathematics for real life applications
• The Aw-Rascle traffic model with locally constrained flow
• A well posed conservation law with a variable unilateral constraint
• Finite volume schemes for locally constrained conservation laws
• General constrained conservation laws. Application to pedestrian flow modeling
• A second-order model for vehicular traffics with local point constraints on the flow
• Qualitative behaviour and numerical approximation of solutions to conservation laws with non-local point constraints on the flux and modeling of crowd dynamics at the bottlenecks
• On the modelling and management of traffic
• The Cauchy problem for the Aw–Rascle–Zhang traffic model with locally constrained flow
• Resurrection of "Second Order" Models of Traffic Flow
• Pedestrian flows and non-classical shocks
• Front tracking for hyperbolic conservation laws

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