A MultiLane Macroscopic Traffic Flow Model for Simple Networks

DOI10.1137/19M1254386zbMath1426.35155arXiv1904.04535OpenAlexW2981197727WikidataQ127023571 ScholiaQ127023571MaRDI QIDQ5236899

Elena Rossi, Paola Goatin

Publication date: 16 October 2019

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

Full work available at URL: https://arxiv.org/abs/1904.04535

zbMATH Keywords

well-posednessGodunov schememacroscopic multilane traffic flow model on networksspace discontinuities

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) Traffic problems in operations research (90B20) Continuum models (systems of particles, etc.) arising in equilibrium statistical mechanics (82B21) PDEs on graphs and networks (ramified or polygonal spaces) (35R02)

Related Items (6)

Estudio comparativo entre la velocidad y la densidad en modelos macroscópicos del tráfico vehicular incorporando la variable espacial en la velocidad ⋮ Nonlocal reaction traffic flow model with on-off ramps ⋮ Stability analysis of microscopic models for traffic flow with lane changing ⋮ Modeling Multilane Traffic with Moving Obstacles by Nonlocal Balance Laws ⋮ Derivation and Stability Analysis of a Macroscopic Multilane Model for Traffic Flow ⋮ Comparative study of macroscopic traffic flow models at road junctions

Cites Work

• Global solution of the Cauchy problem for a class of 2x2 nonstrictly hyperbolic conservation laws
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• A Hierarchy of Models for Multilane Vehicular Traffic I: Modeling
• A Hierarchy of Models for Multilane Vehicular Traffic II: Numerical Investigations
• Convergence of a Godunov scheme for conservation laws with a discontinuous flux lacking the crossing condition
• Godunov-Type Methods for Conservation Laws with a Flux Function Discontinuous in Space
• Upwind difference approximations for degenerate parabolic convection-diffusion equations with a discontinuous coefficient
• An $n$ -populations model for traffic flow
• Resurrection of "Second Order" Models of Traffic Flow
• Models for Dense Multilane Vehicular Traffic
• Shock Waves on the Highway
• On kinematic waves II. A theory of traffic flow on long crowded roads
• Front tracking for hyperbolic conservation laws
• Unnamed Item

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