Wave interactions and stability of Riemann solutions of the Aw-Rascle model for generalized Chaplygin gas

DOI10.1007/s10440-017-0135-0zbMath1390.35182OpenAlexW2768592580MaRDI QIDQ1744064

Wen-Hua Sun, Yu-jin Liu

Publication date: 16 April 2018

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-017-0135-0

zbMATH Keywords

Riemann problemhyperbolic conservation lawswave interactionAw-Rascle modelgeneralized Chaplygin gas

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) First-order nonlinear hyperbolic equations (35L60) Hyperbolic conservation laws (35L65) Initial value problems for first-order hyperbolic systems (35L45)

Related Items (6)

The perturbed Riemann problem for the Aw-Rascle model with modified Chaplygin gas pressure ⋮ Concentration in vanishing adiabatic exponent limit of solutions to the Aw–Rascle traffic model ⋮ The initial value problem of coupled Aw-Rascle traffic model with Chaplygin pressure ⋮ Wave interactions in pressureless Cargo–LeRoux model with flux perturbation ⋮ Stability of solutions to the Riemann problem for a thin film model of a perfectly soluble anti-surfactant solution ⋮ The wave interactions of an improved Aw-Rascle-Zhang model with a non-genuinely nonlinear field

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