A non-local traffic flow model for 1-to-1 junctions

DOI10.1017/S095679251900038XzbMath1504.35188OpenAlexW2967761564WikidataQ126560331 ScholiaQ126560331MaRDI QIDQ5056734

Felisia Angela Chiarello, Paola Goatin, Oliver Kolb, Jan Friedrich, Simone Goettlich

Publication date: 8 December 2022

Published in: European Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s095679251900038x

zbMATH Keywords

upwind schememacroscopic traffic flow models on networksnonlocal scalar conservation laws

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) Traffic problems in operations research (90B20) Traffic and pedestrian flow models (76A30)

Related Items (15)

Nonlocal reaction traffic flow model with on-off ramps ⋮ eXtended hybridizable discontinuous Galerkin (X-HDG) for void and bimaterial problems ⋮ Modeling Multilane Traffic with Moving Obstacles by Nonlocal Balance Laws ⋮ Lyapunov Stabilization for Nonlocal Traffic Flow Models ⋮ Macroscopic limits of non-local kinetic descriptions of vehicular traffic ⋮ Fifth-Order A-WENO Path-Conservative Central-Upwind Scheme for Behavioral Non-Equilibrium Traffic Models ⋮ Existence of entropy weak solutions for 1D non-local traffic models with space-discontinuous flux ⋮ Convergence of a second-order scheme for non-local conservation laws ⋮ Numerical schemes for a class of nonlocal conservation laws: a general approach ⋮ A space-time nonlocal traffic flow model: relaxation representation and local limit ⋮ Nonlocal scalar conservation laws with discontinuous flux ⋮ Micro-Macro Limit of a Nonlocal Generalized Aw-Rascle Type Model ⋮ An Overview of Non-local Traffic Flow Models ⋮ Influence of a slow moving vehicle on traffic: well-posedness and approximation for a mildly nonlocal model ⋮ Boundary controllability and asymptotic stabilization of a nonlocal traffic flow model

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