IDEAS home Printed from https://ideas.repec.org/a/bla/mathna/v296y2023i5p1762-1780.html
   My bibliography  Save this article

Averaging principle for stochastic quasi‐geostrophic flow equation with a fast oscillation

Author

Listed:
  • Guanggan Chen
  • Pin Wang

Abstract

This work is focused on the quasi‐geostrophic flow equation with a fast oscillation governed by a stochastic reaction–diffusion equation. It derives the well‐posedness of the slow–fast system, in which the fast component is ergodic and the slow component is tight. Applying the averaging principle, it is further proved that there exists a limit process, with respect to the singular perturbing parameter ε, where the fast component is averaged out. Moreover, the slow component of the slow–fast system converges to the solution of the averaged equation in some strong sense as ε tends to zero.

Suggested Citation

  • Guanggan Chen & Pin Wang, 2023. "Averaging principle for stochastic quasi‐geostrophic flow equation with a fast oscillation," Mathematische Nachrichten, Wiley Blackwell, vol. 296(5), pages 1762-1780, May.
    • Handle: RePEc:bla:mathna:v:296:y:2023:i:5:p:1762-1780
    DOI: 10.1002/mana.202000477
    as

    Download full text from publisher

    File URL: https://doi.org/10.1002/mana.202000477
    Download Restriction: no
    File URL: https://libkey.io/10.1002/mana.202000477?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    More about this item

    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:bla:mathna:v:296:y:2023:i:5:p:1762-1780. 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: Wiley Content Delivery (email available below). General contact details of provider: http://www.blackwellpublishing.com/journal.asp?ref=0025-584X .

    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.