IDEAS home Printed from https://ideas.repec.org/h/spr/sprchp/978-3-642-55711-8_9.html
   My bibliography  Save this book chapter

An Homogenized Hyperbolic Model of Multiclass Traffic Flow: a Few Examples

In: Hyperbolic Problems: Theory, Numerics, Applications

Author

Listed:
  • Patrizia Bagnerini

    (Université de Nice, Laboratoire de Mathématiques CNRS n. 6621)

  • Michel Rascle

    (Université de Nice, Laboratoire de Mathématiques CNRS n. 6621)

Abstract

We introduce a new homogenized hyperbolic (multiclass) traffic flow model which allows to take into account the behaviors of different type of vehicles (cars, trucks, buses, etc.). We discretize the system with a Godunov Lagrangian scheme with oscillating initial data which describe the non homogeneity of the traffic, and we study the propagation of oscillations as time goes. We show the convergence of the scheme and the existence and uniqueness of the entropy solution to the homogenized system, which allows to completely identify the Young measure for all (x, t). Moreover, we show that this limit system is the hydrodynamic limit of the corresponding multi-class discrete system. Simulations are also presented.

Suggested Citation

  • Patrizia Bagnerini & Michel Rascle, 2003. "An Homogenized Hyperbolic Model of Multiclass Traffic Flow: a Few Examples," Springer Books, in: Thomas Y. Hou & Eitan Tadmor (ed.), Hyperbolic Problems: Theory, Numerics, Applications, pages 113-123, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-55711-8_9
    DOI: 10.1007/978-3-642-55711-8_9
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a
    for a similarly titled item that would be available.

    More about this item

    Keywords

    ;
    ;
    ;
    ;
    ;

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:sprchp:978-3-642-55711-8_9. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.