Riemann problem for the Aw-Rascle model of traffic flow with general pressure

DOI10.1007/s40840-020-00892-0zbMath1450.35170OpenAlexW3002231433WikidataQ126291455 ScholiaQ126291455MaRDI QIDQ2006695

Qin Wang, Shiwei Li, Han-Chun Yang

Publication date: 12 October 2020

Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40840-020-00892-0

zbMATH Keywords

vacuumnumerical resultsAw-Rascle modeldelta shock wave

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) PDEs in connection with fluid mechanics (35Q35) Hyperbolic conservation laws (35L65) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Traffic problems in operations research (90B20) Compressibility effects in hydrodynamic stability (76E19)

Related Items (6)

Riemann solutions of the anti-Chaplygin pressure Aw–Rascle model with friction ⋮ Wave interactions and stability of Riemann solutions to the Aw-Rascle model with friction for modified Chaplygin gas ⋮ A limiting viscosity approach to the Riemann problem in blood flow through artery ⋮ Stability of Riemann solutions to a class of non-strictly hyperbolic systems of conservation laws ⋮ Riemann problem for a \(2 \times 2\) hyperbolic system with time-gradually-degenerate damping ⋮ Characteristic decomposition of the two-dimensional ARZ traffic flow system

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