Self-sustained nonlinear waves in traffic flow

M. R. Flynn; A. R. Kasimov; J. C. Nave; R. R. Rosales; B. Seibold

doi:10.1103/PhysRevE.79.056113

Self-sustained nonlinear waves in traffic flow

M. R. Flynn, A. R. Kasimov, J. C. Nave, R. R. Rosales, B. Seibold

Research output: Contribution to journal › Article › peer-review

118 Scopus citations

Abstract

In analogy to gas-dynamical detonation waves, which consist of a shock with an attached exothermic reaction zone, we consider herein nonlinear traveling wave solutions to the hyperbolic ("inviscid") continuum traffic equations. Generic existence criteria are examined in the context of the Lax entropy conditions. Our analysis naturally precludes traveling wave solutions for which the shocks travel downstream more rapidly than individual vehicles. Consistent with recent experimental obser.

Original language	English (US)
Article number	056113
Journal	Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume	79
Issue number	5
DOIs	https://doi.org/10.1103/PhysRevE.79.056113
State	Published - May 26 2009
Externally published	Yes

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Statistics and Probability
Condensed Matter Physics

Access to Document

10.1103/PhysRevE.79.056113

Cite this

@article{f2d1901e792c408daf1efd6ceb89ef4b,

title = "Self-sustained nonlinear waves in traffic flow",

abstract = "In analogy to gas-dynamical detonation waves, which consist of a shock with an attached exothermic reaction zone, we consider herein nonlinear traveling wave solutions to the hyperbolic ({"}inviscid{"}) continuum traffic equations. Generic existence criteria are examined in the context of the Lax entropy conditions. Our analysis naturally precludes traveling wave solutions for which the shocks travel downstream more rapidly than individual vehicles. Consistent with recent experimental obser.",

author = "Flynn, {M. R.} and Kasimov, {A. R.} and Nave, {J. C.} and Rosales, {R. R.} and B. Seibold",

year = "2009",

month = may,

day = "26",

doi = "10.1103/PhysRevE.79.056113",

language = "English (US)",

volume = "79",

journal = "Physical Review E - Statistical, Nonlinear, and Soft Matter Physics",

issn = "1539-3755",

publisher = "American Physical Society",

number = "5",

}

TY - JOUR

T1 - Self-sustained nonlinear waves in traffic flow

AU - Flynn, M. R.

AU - Kasimov, A. R.

AU - Nave, J. C.

AU - Rosales, R. R.

AU - Seibold, B.

PY - 2009/5/26

Y1 - 2009/5/26

N2 - In analogy to gas-dynamical detonation waves, which consist of a shock with an attached exothermic reaction zone, we consider herein nonlinear traveling wave solutions to the hyperbolic ("inviscid") continuum traffic equations. Generic existence criteria are examined in the context of the Lax entropy conditions. Our analysis naturally precludes traveling wave solutions for which the shocks travel downstream more rapidly than individual vehicles. Consistent with recent experimental obser.

AB - In analogy to gas-dynamical detonation waves, which consist of a shock with an attached exothermic reaction zone, we consider herein nonlinear traveling wave solutions to the hyperbolic ("inviscid") continuum traffic equations. Generic existence criteria are examined in the context of the Lax entropy conditions. Our analysis naturally precludes traveling wave solutions for which the shocks travel downstream more rapidly than individual vehicles. Consistent with recent experimental obser.

UR - http://www.scopus.com/inward/record.url?scp=67549112095&partnerID=8YFLogxK

U2 - 10.1103/PhysRevE.79.056113

DO - 10.1103/PhysRevE.79.056113

M3 - Article

AN - SCOPUS:67549112095

SN - 1539-3755

VL - 79

JO - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

JF - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

IS - 5

M1 - 056113

ER -

Self-sustained nonlinear waves in traffic flow

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this