A note on the interactions of elementary waves for the AR traffic flow model without vacuum
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Publication:423246
DOI10.1016/S0252-9602(11)60336-6zbMath1249.35216MaRDI QIDQ423246
Publication date: 1 June 2012
Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)
Riemann problemhyperbolic conservation lawstraffic flowAw-Rascle modelinteraction of elementary wave
Shocks and singularities for hyperbolic equations (35L67) Hyperbolic conservation laws (35L65) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30)
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Nonlinear wave interactions in a macroscopic production model ⋮ Wave interactions and stability of Riemann solutions to the Aw-Rascle model with friction for modified Chaplygin gas ⋮ Concentration in vanishing adiabatic exponent limit of solutions to the Aw–Rascle traffic model ⋮ Wave interactions in pressureless Cargo–LeRoux model with flux perturbation ⋮ Wave interactions and stability of Riemann solutions of the Aw-Rascle model for generalized Chaplygin gas ⋮ Stability of solutions to the Riemann problem for a thin film model of a perfectly soluble anti-surfactant solution ⋮ Existence and stability of Riemann solution to the Aw-rascle model with friction
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