Non-local traffic flow models with time delay: well-posedness and numerical approximation

DOI10.3934/DCDSB.2024113MaRDI QIDQ6642468

Ilaria Ciaramaglia, Paola Goatin, Gabriella Puppo

Publication date: 24 November 2024

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

zbMATH Keywords

time delayfinite volume schemesentropy weak solutionsnonlocal conservation lawsmacroscopic traffic models

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Initial value problems for first-order hyperbolic equations (35L03) Traffic and pedestrian flow models (76A30)

Cites Work

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• Micro-Macro Limit of a Nonlocal Generalized Aw-Rascle Type Model
• Stochastic Modeling and Simulation of Traffic Flow: Asymmetric Single Exclusion Process with Arrhenius look-ahead dynamics
• Existence of entropy weak solutions for 1D non-local traffic models with space-discontinuous flux
• A space-time nonlocal traffic flow model: relaxation representation and local limit

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