Micro-Macro Limit of a Nonlocal Generalized Aw-Rascle Type Model
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Publication:5117978
DOI10.1137/20M1313337zbMath1445.35244OpenAlexW2999386308MaRDI QIDQ5117978
Jan Friedrich, Paola Goatin, Felisia Angela Chiarello, Simone Goettlich
Publication date: 26 August 2020
Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/20m1313337
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)
Related Items (17)
Network models for nonlocal traffic flow ⋮ Constructing artificial traffic fluids by designing cruise controllers ⋮ Lyapunov Stabilization for Nonlocal Traffic Flow Models ⋮ Macroscopic traffic flow modelling: from kinematic waves to autonomous vehicles ⋮ Macroscopic limits of non-local kinetic descriptions of vehicular traffic ⋮ The initial boundary value problem for second order traffic flow models with vacuum: existence of entropy weak solutions ⋮ Solutions of kinetic equations related to non-local conservation laws ⋮ Microscopic derivation of a traffic flow model with a bifurcation ⋮ A space-time nonlocal traffic flow model: relaxation representation and local limit ⋮ String stability in traffic flows ⋮ Convergence of rough Follow-the-Leader approximations and existence of weak solutions for the one-dimensional Hughes model ⋮ A nonlocal Lagrangian traffic flow model and the zero-filter limit ⋮ Multiscale Control of Generic Second Order Traffic Models by Driver-Assist Vehicles ⋮ A non-local macroscopic model for traffic flow ⋮ The wave interactions of an improved Aw-Rascle-Zhang model with a non-genuinely nonlinear field ⋮ Data-driven uncertainty quantification in macroscopic traffic flow models ⋮ Stability of a Nonlocal Traffic Flow Model for Connected Vehicles
Cites Work
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- Derivation of Continuum Traffic Flow Models from Microscopic Follow-the-Leader Models
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- Global entropy weak solutions for general non-local traffic flow models with anisotropic kernel
- Macroscopic Modeling of Multilane Motorways Using a Two-Dimensional Second-Order Model of Traffic Flow
- Resurrection of "Second Order" Models of Traffic Flow
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