The effect of diffusion in a new viscous continuum traffic model

DOI10.1016/j.physleta.2010.03.056zbMath1237.90060OpenAlexW2073702186MaRDI QIDQ415044

Zhong-Ke Shi, Lei Yu, Tong Li

Publication date: 11 May 2012

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2010.03.056

zbMATH Keywords

clusterdiffusionshock waveviscositytraffic flowmacroscopic model

Mathematics Subject Classification ID

Classification and discrimination; cluster analysis (statistical aspects) (62H30) Shock waves and blast waves in fluid mechanics (76L05) Diffusion processes (60J60) Traffic problems in operations research (90B20)

Related Items (8)

A novel lattice hydrodynamic model accounting for driver's memory effect and the difference of optimal velocity on curved road ⋮ Study on varying time delay on traffic stability in a novel lattice hydrodynamic model ⋮ An improved macro model of traffic flow with the consideration of ramps and numerical tests ⋮ Stability analysis of delayed-feedback control effect in the continuum traffic flow of autonomous vehicles without V2I communication ⋮ A viscous continuum model with smoke effect for pedestrian evacuation ⋮ Phase plane analysis method of nonlinear traffic phenomena ⋮ Solitary wave solution to a class of higher-order viscous traffic flow model ⋮ Macroscopic Analysis Of The Viscous-Diffusive Traffic Flow Model

Cites Work

• A model for the formation and evolution of traffic jams
• Nonlinear dynamics of traffic jams
• Analyses of shock waves and jams in traffic flow
• DENSITY WAVE IN A NEW ANISOTROPIC CONTINUUM MODEL FOR TRAFFIC FLOW
• Stability of Traveling Waves in Quasi-Linear Hyperbolic Systems with Relaxation and Diffusion
• Relaxation and diffusion enhanced dispersive waves
• Resurrection of "Second Order" Models of Traffic Flow
• Nonlinear Analysis in the Aw–Rascle Anticipation Model of Traffic Flow
• Shock Waves on the Highway
• Nonlinear Effects in the Dynamics of Car Following
• On kinematic waves II. A theory of traffic flow on long crowded roads

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