• xmlui.mirage2.page-structure.header.title
    • français
    • English
  • Help
  • Login
  • Language 
    • Français
    • English
View Item 
  •   BIRD Home
  • CEREMADE (UMR CNRS 7534)
  • CEREMADE : Publications
  • View Item
  •   BIRD Home
  • CEREMADE (UMR CNRS 7534)
  • CEREMADE : Publications
  • View Item
JavaScript is disabled for your browser. Some features of this site may not work without it.

Browse

BIRDResearch centres & CollectionsBy Issue DateAuthorsTitlesTypeThis CollectionBy Issue DateAuthorsTitlesType

My Account

LoginRegister

Statistics

Most Popular ItemsStatistics by CountryMost Popular Authors
Thumbnail

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

Zidani, Hasnaa; Monneau, Régis; Imbert, Cyril (2013), A Hamilton-Jacobi approach to junction problems and application to traffic flows, ESAIM. COCV, 19, 1, p. 129-166. http://dx.doi.org/10.1051/cocv/2012002

View/Open
jonction-hal3.pdf (537.0Kb)
Type
Article accepté pour publication ou publié
External document link
http://hal.archives-ouvertes.fr/hal-00569010/fr/
Date
2013
Journal name
ESAIM. COCV
Volume
19
Number
1
Publisher
Cambridge University Press
Pages
129-166
Publication identifier
http://dx.doi.org/10.1051/cocv/2012002
Metadata
Show full item record
Author(s)
Zidani, Hasnaa
Monneau, Régis
Imbert, Cyril cc
Abstract (EN)
This 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.
Subjects / Keywords
Junctions; Traffic problems; Optimal control; Viscosity solutions; Discontinuous Hamiltonians; Hamilton-Jacobi equations

Related items

Showing items related by title and author.

  • Thumbnail
    A viability approach to Hamilton-Jacobi equations: application to concave highway traffic flux functions 
    Aubin, Jean-Pierre; Bayen, Alexandre M.; Saint-Pierre, Patrick (2005) Communication / Conférence
  • Thumbnail
    Homogenization of First-Order Equations with (u/ε) -Periodic Hamiltonians. Part II: application to dislocations dynamics 
    Imbert, Cyril; Monneau, Régis; Rouy, Elisabeth (2007) Document de travail / Working paper
  • Thumbnail
    Recent results on dislocation dynamics and homogenization 
    Monneau, Régis; Imbert, Cyril; Forcadel, Nicolas (2008) Article accepté pour publication ou publié
  • Thumbnail
    Homogenization of some particle systems with two-body interactions and of the dislocation dynamics 
    Forcadel, Nicolas; Imbert, Cyril; Monneau, Régis (2009) Article accepté pour publication ou publié
  • Thumbnail
    Uniqueness and existence of spirals moving by forced mean curvature motion 
    Monneau, Régis; Imbert, Cyril; Forcadel, Nicolas (2012) Article accepté pour publication ou publié
Dauphine PSL Bibliothèque logo
Place du Maréchal de Lattre de Tassigny 75775 Paris Cedex 16
Phone: 01 44 05 40 94
Contact
Dauphine PSL logoEQUIS logoCreative Commons logo