IDEAS home Printed from https://ideas.repec.org/h/spr/sprchp/978-3-642-36874-5_8.html
   My bibliography  Save this book chapter

Boussinesq Equations in Geophysics

In: Algebraic Approaches to Partial Differential Equations

Author

Listed:
  • Xiaoping Xu

    (Academy of Mathematics and System Science, Institute of Mathematics)

Abstract

Boussinesq systems of nonlinear partial differential equations are fundamental equations in geophysical fluid dynamics. In this chapter, we use asymmetric ideas and moving frames to solve two-dimensional Boussinesq equations with partial viscosity terms and three-dimensional stratified rotating Boussinesq equations. We obtain new families of explicit exact solutions with multiple parameter functions; many of them are periodic, quasi-periodic, and aperiodic solutions that may have practical significance. Using Fourier expansion and some of our solutions, one can obtain discontinuous solutions. In addition, the symmetries of these equations are used to simplify our arguments.

Suggested Citation

  • Xiaoping Xu, 2013. "Boussinesq Equations in Geophysics," Springer Books, in: Algebraic Approaches to Partial Differential Equations, edition 127, chapter 0, pages 231-267, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-36874-5_8
    DOI: 10.1007/978-3-642-36874-5_8
    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:978-3-642-36874-5_8. 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.