Nonlocal conservation laws with time delay

DOI10.1007/s00030-019-0597-zzbMath1439.35325OpenAlexW2982418667MaRDI QIDQ2291742

Alexander Keimer, Lukas Pflug

Publication date: 31 January 2020

Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00030-019-0597-z

zbMATH Keywords

existenceuniquenessdelaynonlocal balance lawsconvergence for vanishing delayLWR PDE with delaytraffic flow modelling with delay

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) Numerical aspects of the method of characteristics for initial value and initial-boundary value problems involving PDEs (65M25) Initial value problems for first-order hyperbolic equations (35L03)

Related Items (5)

Network models for nonlocal traffic flow ⋮ Lyapunov Stabilization for Nonlocal Traffic Flow Models ⋮ A space-time nonlocal traffic flow model: relaxation representation and local limit ⋮ On the well-posedness of the ``Bando-follow the leader car following model and a time-delayed version ⋮ Properties of the LWR model with time delay

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