IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v9y2021i13p1528-d585114.html
   My bibliography  Save this article

Weak Solutions and Their Kinetic Energy Regarding Time-Periodic Navier–Stokes Equations in Three Dimensional Whole-Space

Author

Listed:
  • Mads Kyed

    (Fachbereich Maschinenbau, Flensburg University of Applied Sciences, Kanzleistrasse 91-93, 24943 Flensburg, Germany
    Faculty of Science and Engineering, Waseda University, 3-4-1 Ohkubo, Shinjuku-ku, Tokyo 169-8555, Japan)

Abstract

The existence of weak time-periodic solutions to Navier–Stokes equations in three dimensional whole-space with time-periodic forcing terms are established. The solutions are constructed in such a way that the structural properties of their kinetic energy are obtained. No restrictions on either the size or structure of the external force are required.

Suggested Citation

  • Mads Kyed, 2021. "Weak Solutions and Their Kinetic Energy Regarding Time-Periodic Navier–Stokes Equations in Three Dimensional Whole-Space," Mathematics, MDPI, vol. 9(13), pages 1-28, June.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:13:p:1528-:d:585114
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/9/13/1528/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/9/13/1528/
    Download Restriction: no
    ---><---

    More about this item

    Keywords

    Navier–Stokes; time-periodic solutions;

    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:gam:jmathe:v:9:y:2021:i:13:p:1528-:d:585114. 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: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.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.