Developing an Aw-Rascle model of traffic flow

DOI10.1007/s10665-015-9801-2zbMath1358.35071OpenAlexW1826015660MaRDI QIDQ519165

Wei-Feng Jiang, Zhen Wang

Publication date: 4 April 2017

Published in: Journal of Engineering Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10665-015-9801-2

zbMATH Keywords

phase transitionRiemann problemAw-Rascle modelmaximal constraint

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) Initial value problems for first-order hyperbolic systems (35L45) Foundations, constitutive equations, rheology, hydrodynamical models of non-fluid phenomena (76A99)

Related Items (9)

The resonance behavior for the coupling of two Aw-Rascle traffic models ⋮ On the stability of the improved Aw-Rascle-Zhang model with Chaplygin pressure ⋮ Limits of solutions to the Aw-Rascle traffic flow model with generalized Chaplygin gas by flux approximation ⋮ Heterogeneous traffic flow modelling using second-order macroscopic continuum model ⋮ Stability of Riemann solutions to a class of non-strictly hyperbolic systems of conservation laws ⋮ Asymptotic limits of Riemann solutions to a novel second-order continuous macroscopic traffic flow model ⋮ Derivation of second order traffic flow models with time delays ⋮ The Riemann problem with delta initial data for the non-isentropic improved Aw-Rascle-Zhang model ⋮ The wave interactions of an improved Aw-Rascle-Zhang model with a non-genuinely nonlinear field

Cites Work

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• On the multiscale modeling of vehicular traffic: from kinetic to hydrodynamics
• From vehicle-driver behaviors to first-order traffic flow macroscopic models
• Modelling and simulation of vehicular traffic jam formation
• A model for the formation and evolution of traffic jams
• TOWARDS THE MODELING OF VEHICULAR TRAFFIC AS A COMPLEX SYSTEM: A KINETIC THEORY APPROACH
• On the Modeling of Traffic and Crowds: A Survey of Models, Speculations, and Perspectives
• Derivation of Continuum Traffic Flow Models from Microscopic Follow-the-Leader Models
• Coupling Conditions for a Class of Second-Order Models for Traffic Flow
• EXISTENCE OF SOLUTIONS FOR THE AW–RASCLE TRAFFIC FLOW MODEL WITH VACUUM
• A TRAFFIC-FLOW MODEL WITH CONSTRAINTS FOR THE MODELING OF TRAFFIC JAMS
• Interactions of Elementary Waves for the Aw–Rascle Model
• Existence, Uniqueness, and Continuous Dependence for a System of Hyperbolic Conservation Laws Modeling Polymer Flooding
• Dynamical stability and vanishing viscosity: A case study of a non-strictly hyperbolic system
• Resurrection of "Second Order" Models of Traffic Flow

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