Entropy solutions for a traffic model with phase transitions

DOI10.1016/j.na.2016.04.011zbMath1343.35159arXiv1602.03454OpenAlexW2260971549MaRDI QIDQ299244

Mohamed Benyahia, Massimiliano Daniele Rosini

Publication date: 22 June 2016

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1602.03454

zbMATH Keywords

phase transitionsLighthill-Whitham-Richards modelAw-Rascle-Zhang modelentropy conditions à la Kruzhkovwave-front tracking

Mathematics Subject Classification ID

Multiphase and multicomponent flows (76T99) Hyperbolic conservation laws (35L65) Traffic problems in operations research (90B20)

Related Items

A macroscopic traffic model with phase transitions and local point constraints on the flow, An existence result for a constrained two-phase transition model with metastable phase for vehicular traffic, Entropy solutions for a two-phase transition model for vehicular traffic with metastable phase and time depending point constraint on the density flow

Cites Work

• Solutions of the Aw-Rascle-Zhang system with point constraints
• Many particle approximation of the Aw-Rascle-Zhang second order model for vehicular traffic
• A class of multi-phase traffic theories for microscopic kinetic and continuum traffic models
• Macroscopic models for vehicular flows and crowd dynamics: theory and applications. Classical and non-classical advanced mathematics for real life applications
• Existence of global bounded weak solutions to nonsymmetric systems of Keyfitz-Kranzer type
• On fluido-dynamic models for urban traffic
• Free-congested and micro-macro descriptions of traffic flow
• The Aw-Rascle vehicular traffic flow model with phase transitions
• A second-order model for vehicular traffics with local point constraints on the flow
• A General Phase Transition Model for Vehicular Traffic
• 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
• EXISTENCE OF SOLUTIONS FOR THE AW–RASCLE TRAFFIC FLOW MODEL WITH VACUUM
• Hyperbolic Phase Transitions in Traffic Flow
• Resurrection of "Second Order" Models of Traffic Flow
• A mixed ODE–PDE model for vehicular traffic
• Shock Waves on the Highway
• A 2-Phase Traffic Model Based on a Speed Bound
• On kinematic waves II. A theory of traffic flow on long crowded roads
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