Derivation and Stability Analysis of a Macroscopic Multilane Model for Traffic Flow

DOI10.1137/22m1543288zbMath1526.76006arXiv2212.13160OpenAlexW4387740148MaRDI QIDQ6086809

Gabriella Puppo, Matteo Piu, Michael Herty

Publication date: 10 November 2023

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2212.13160

zbMATH Keywords

stabilitymacroscopic limitbalance lawvehicular traffic flowequilibrium perturbationfifth-order Runge-Kutta methodfirst-order continuum modeltwo-lane road

Mathematics Subject Classification ID

Finite difference methods applied to problems in fluid mechanics (76M20) Traffic problems in operations research (90B20) Hydrodynamic stability (76E99) Traffic and pedestrian flow models (76A30)

Cites Work

• Stability analysis of microscopic models for traffic flow with lane changing
• Derivation of Continuum Traffic Flow Models from Microscopic Follow-the-Leader Models
• Macroscopic Modeling of Multilane Motorways Using a Two-Dimensional Second-Order Model of Traffic Flow
• Resurrection of "Second Order" Models of Traffic Flow
• Vehicular traffic, crowds, and swarms: From kinetic theory and multiscale methods to applications and research perspectives
• Models for Dense Multilane Vehicular Traffic
• A MultiLane Macroscopic Traffic Flow Model for Simple Networks
• Hybrid Necessary Principle
• Hybrid dynamical systems
• Shock Waves on the Highway
• On kinematic waves II. A theory of traffic flow on long crowded roads
• Mean-field limit of a hybrid system for multi-lane multi-class traffic
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