The zero relaxation limit for the Aw-Rascle-Zhang traffic flow model
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Publication:667874
DOI10.1007/s00033-018-1071-1zbMath1407.35133OpenAlexW2908225264WikidataQ128589089 ScholiaQ128589089MaRDI QIDQ667874
Nicolas Laurent-Brouty, Paola Goatin
Publication date: 1 March 2019
Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00033-018-1071-1
decay estimatesmacroscopic traffic flow modelshyperbolic systems of conservation laws with relaxationtemple class systemswavefront tracking
Hyperbolic conservation laws (35L65) Traffic problems in operations research (90B20) Initial value problems for first-order hyperbolic systems (35L45)
Related Items (10)
Global Entropy Solutions and Zero Relaxation Limit for Greenberg--Klar--Rascle Multilane Traffic Flow Model ⋮ On the Cauchy problem for Aw-Rascle system with linear damping ⋮ A nonlinear heat equation arising from automated-vehicle traffic flow models ⋮ Riemann problems for the nonhomogeneous Aw-Rascle model ⋮ Concentration of mass in the vanishing adiabatic exponent limit of Aw-Rascle traffic model with relaxation ⋮ Global well-posedness and asymptotic behavior of \(BV\) solutions to a system of balance laws arising in traffic flow ⋮ Wave scattering in hyperbolic balance laws and the zero relaxation limit ⋮ Nonlocal conservation laws with time delay ⋮ Uniqueness of Zero Relaxation Limit ⋮ Two-dimensional Aw-Rascle model with Chaplygin pressures: Riemann solutions consisting of contact discontinuities
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