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A Hamilton-Jacobi approach to junction problems and application to traffic flows

dc.contributor.authorZidani, Hasnaa
HAL ID: 565
dc.contributor.authorMonneau, Régis
dc.contributor.authorImbert, Cyril
HAL ID: 9368
ORCID: 0000-0002-1290-8257
dc.date.accessioned2011-02-28T11:27:26Z
dc.date.available2011-02-28T11:27:26Z
dc.date.issued2013
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/5719
dc.language.isoenen
dc.subjectJunctionsen
dc.subjectTraffic problemsen
dc.subjectOptimal controlen
dc.subjectViscosity solutionsen
dc.subjectDiscontinuous Hamiltoniansen
dc.subjectHamilton-Jacobi equationsen
dc.subject.ddc515en
dc.titleA Hamilton-Jacobi approach to junction problems and application to traffic flowsen
dc.typeArticle accepté pour publication ou publié
dc.contributor.editoruniversityotherUnité de Mathématiques Appliquées (UMA) ENSTA ParisTech;France
dc.contributor.editoruniversityotherCommands (INRIA Saclay - Ile de France) INRIA – CNRS : UMR7641 – Polytechnique - X – ENSTA ParisTech;France
dc.contributor.editoruniversityotherCentre d'Enseignement et de Recherche en Mathématiques et Calcul Scientifique (CERMICS) Ecole des Ponts ParisTech;France
dc.contributor.editoruniversityotherDépartement de Mathématiques et Applications (DMA) CNRS : UMR8553 – Ecole Normale Supérieure de Paris - ENS Paris;France
dc.description.abstractenThis paper is concerned with the study of a model case of first order Hamilton-Jacobi equations posed on a ``junction'', that is to say the union of a finite number of half-lines with a unique common point. The main results are a comparison principle, existence and stability of solutions. The two challenging difficulties are the singular geometry of the domain and the discontinuity of the Hamiltonian. As far as discontinuous Hamiltonians are concerned, these results seem to be new. They are applied to the study of some models arising in traffic flows. The techniques developed in the present article provide powerful new tools in the analysis of such traffic flow problems.en
dc.relation.isversionofjnlnameESAIM. COCV
dc.relation.isversionofjnlvol19
dc.relation.isversionofjnlissue1
dc.relation.isversionofjnldate2013
dc.relation.isversionofjnlpages129-166
dc.relation.isversionofdoihttp://dx.doi.org/10.1051/cocv/2012002
dc.identifier.urlsitehttp://hal.archives-ouvertes.fr/hal-00569010/fr/en
dc.description.sponsorshipprivateouien
dc.relation.isversionofjnlpublisherCambridge University Press
dc.subject.ddclabelAnalyseen


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