Modelling of motorway traffic to second order

DOI10.1016/J.CRMA.2008.09.024zbMath1204.90019OpenAlexW2006848512MaRDI QIDQ957572

Salim Mammar, Bernard Schnetzler, Xavier Louis, Habib Haj-Salem, Jean-Patrick Lebacque

Publication date: 28 November 2008

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2008.09.024

Mathematics Subject Classification ID

Traffic problems in operations research (90B20) PDEs in connection with mathematical programming (35Q90)

Related Items (9)

The Riemann problem at a junction for a phase transition traffic model ⋮ The Godunov method for a 2-phase model ⋮ Pareto-Optimal Coupling Conditions for the Aw--Rascle--Zhang Traffic Flow Model at Junctions ⋮ Existence of solutions to a boundary value problem for a phase transition traffic model ⋮ Existence analysis and numerical approximation for a second-order model of traffic with orderliness marker ⋮ Application of averaging techniques to traffic flow theory ⋮ A Riemann solver at a junction compatible with a homogenization limit ⋮ Global Weak Solutions to the Cauchy Problem for a Two-Phase Model at a Node ⋮ Vanishing viscosity for a \(2 \times 2\) system modeling congested vehicular traffic

Cites Work

• Unnamed Item
• A system of non-strictly hyperbolic conservation laws arising in elasticity theory
• On the role of source terms in continuum traffic flow models
• Resurrection of "Second Order" Models of Traffic Flow
• On kinematic waves II. A theory of traffic flow on long crowded roads

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