IDEAS home Printed from https://ideas.repec.org/h/spr/sprchp/978-1-4899-7291-0_3.html
   My bibliography  Save this book chapter

The Linearized Collision Operator

In: Mathematical Methods in Kinetic Theory

Author

Listed:
  • Carlo Cercignani

    (Politecnico di Milano)

Abstract

In Chapter II we found a solution of the Boltzmann equation, i.e., the Maxwellian. It is an exact solution of the Boltzmann equation and the most significant and widely used solution [other interesting solutions have been found but there is not sufficient space to discuss them here; some of them are discussed in detail in a book by Truesdell and Muncaster (ref. 1); see also Chapter VII, Section 14]. The meaning of the Maxwellian distribution is clear: it describes equilibrium states (or slight generalizations of them), characterized by the fact that neither heat flow nor stresses other than isotropic pressure are present. If we want to describe more realistic non-equilibrium situations, when oblique stresses are present and heat transfers take place, we have to rely upon approximation methods.

Suggested Citation

  • Carlo Cercignani, 1990. "The Linearized Collision Operator," Springer Books, in: Mathematical Methods in Kinetic Theory, edition 0, chapter 0, pages 67-88, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4899-7291-0_3
    DOI: 10.1007/978-1-4899-7291-0_3
    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:978-1-4899-7291-0_3. 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.