Thresholds for shock formation in traffic flow models with nonlocal-concave-convex flux

DOI10.1016/j.jde.2018.07.048zbMath1471.35200OpenAlexW2883623906MaRDI QIDQ1993977

Yongki Lee

Publication date: 6 November 2018

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2018.07.048

zbMATH Keywords

shock formationblow uptraffic flownonlocal conservation lawcritical thresholdlook-ahead dynamicsnonconcave flux

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Hyperbolic conservation laws (35L65) Blow-up in context of PDEs (35B44) Traffic and pedestrian flow models (76A30)

Related Items (9)

Modeling Multilane Traffic with Moving Obstacles by Nonlocal Balance Laws ⋮ Discontinuous nonlocal conservation laws and related discontinuous ODEs -- existence, uniqueness, stability and regularity ⋮ Sharp critical thresholds for a class of nonlocal traffic flow models ⋮ A space-time nonlocal traffic flow model: relaxation representation and local limit ⋮ Accelerated kinetic Monte Carlo methods for general nonlocal traffic flow models ⋮ Global well-posedness and asymptotic behavior of \(BV\) solutions to a system of balance laws arising in traffic flow ⋮ On a class of new nonlocal traffic flow models with look-ahead rules ⋮ Wave breaking in a class of non-local conservation laws ⋮ Stability of a Nonlocal Traffic Flow Model for Connected Vehicles

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