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dc.contributor.authorFlynn, Morris R.
dc.contributor.authorKasimov, Aslan R.
dc.contributor.authorNave, Jean-Christophe
dc.contributor.authorRosales, Rodolfo R.
dc.contributor.authorSeibold, Benjamin
dc.date.accessioned2010-02-12T14:35:20Z
dc.date.available2010-02-12T14:35:20Z
dc.date.issued2009-05
dc.date.submitted2009-03
dc.identifier.issn1539-3755
dc.identifier.ismn1550-2376
dc.identifier.urihttp://hdl.handle.net/1721.1/51741
dc.description.abstractIn 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 observations from a periodic roadway [Y. Sugiyama et al., N. J. Phys. 10, 033001 (2008)], our numerical calculations show that nonlinear traveling waves are attracting solutions, with the time evolution of the system converging toward a wave-dominated configuration. Theoretical principles are elucidated by considering examples of traffic flow on open and closed roadways.en
dc.description.sponsorshipNational Science Foundationen
dc.description.sponsorshipUSAFOSR Young Investigator Programen
dc.description.sponsorshipNSERC Discovery Grant Programen
dc.language.isoen_US
dc.publisherAmerican Physical Societyen
dc.relation.isversionofhttp://dx.doi.org/10.1103/PhysRevE.79.056113en
dc.rightsArticle is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.en
dc.sourceAPSen
dc.titleSelf-sustained nonlinear waves in traffic flowen
dc.typeArticleen
dc.identifier.citationFlynn, M. R. et al. “Self-sustained nonlinear waves in traffic flow.” Physical Review E 79.5 (2009): 056113. © 2009 The American Physical Society.en
dc.contributor.departmentMassachusetts Institute of Technology. Department of Mathematicsen_US
dc.contributor.approverRosales, Rodolfo R.
dc.contributor.mitauthorKasimov, Aslan R.
dc.contributor.mitauthorNave, Jean-Christophe
dc.contributor.mitauthorRosales, Rodolfo R.
dc.contributor.mitauthorSeibold, Benjamin
dc.relation.journalPhysical Review Een
dc.eprint.versionFinal published versionen
dc.type.urihttp://purl.org/eprint/type/JournalArticleen
eprint.statushttp://purl.org/eprint/status/PeerRevieweden
eprint.grantNumberDMS-0813648en
eprint.grantNumberFA9550-08-1-0035en
dspace.orderedauthorsFlynn, M.; Kasimov, A.; Nave, J.-C.; Rosales, R.; Seibold, B.en
dc.identifier.orcidhttps://orcid.org/0000-0002-8828-5930
mit.licensePUBLISHER_POLICYen


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