On stop-and-go waves in dense traffic

DOI10.3934/krm.2008.1.437zbMath1165.90374OpenAlexW2324438375MaRDI QIDQ958345

Reinhard Illner, Michael Herty

Publication date: 3 December 2008

Published in: Kinetic and Related Models (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/krm.2008.1.437

zbMATH Keywords

nonlinear stabilitynonlocal equationsstop-and-go wavestraffic flow

Mathematics Subject Classification ID

Perturbations of ordinary differential equations (34D10) Second-order elliptic equations (35J15) Traffic problems in operations research (90B20)

Related Items (7)

A class of multi-phase traffic theories for microscopic kinetic and continuum traffic models ⋮ Modeling of fracture in polycrystalline materials ⋮ Viscous profiles in models of collective movement with negative diffusivity ⋮ Analytic solutions for a functional differential equation related to a traffic flow model ⋮ String stability in traffic flows ⋮ Kinetic models for traffic flow resulting in a reduced space of microscopic velocities ⋮ Stop-and-Go Waves: A Microscopic and a Macroscopic Description

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