IDEAS home Printed from https://ideas.repec.org/h/spr/sprchp/978-94-010-0698-9_16.html

The evolution of travelling waves from chemical-clock reactions

In: Practical Asymptotics

Author

Listed:
  • S. J. Preece

    (University of Birmingham, School of Mathematics and Statistics)

  • J. Billingham

    (University of Birmingham, School of Mathematics and Statistics)

  • A. C. King

    (University of Birmingham, School of Mathematics and Statistics)

Abstract

A clock-reaction is a chemical reaction which gives rise to an initial induction period before a significant change in concentration of one of the chemical species occurs. In this paper the development of travelling waves from a particular class of inhibited autocatalytic clock-reactions is analysed. The numerical solutions show that, after the induction period, a propagating reaction-diffusion front is initiated. This front is seen to accelerate initially and then to become a constant-speed travelling wave. An asymptotic analysis of the large-time travelling-wave behaviour is given and from this it is possible to fix a minimum wave speed. The asymptotic predictions of the wave speed are found to agree well with those of the numerical solution.

Suggested Citation

  • S. J. Preece & J. Billingham & A. C. King, 2001. "The evolution of travelling waves from chemical-clock reactions," Springer Books, in: H. K. Kuiken (ed.), Practical Asymptotics, pages 367-385, Springer.
    • Handle: RePEc:spr:sprchp:978-94-010-0698-9_16
    DOI: 10.1007/978-94-010-0698-9_16
    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:978-94-010-0698-9_16. 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.