IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v10y2022i23p4561-d990988.html
   My bibliography  Save this article

Asymptotic Stability for the 2D Navier–Stokes Equations with Multidelays on Lipschitz Domain

Author

Listed:
  • Ling-Rui Zhang

    (Department of Mathematics and Information Science, Henan Normal University, Xinxiang 453007, China)

  • Xin-Guang Yang

    (Department of Mathematics and Information Science, Henan Normal University, Xinxiang 453007, China)

  • Ke-Qin Su

    (College of Information and Management Science, Henan Agricultural University, Zhengzhou 450046, China)

Abstract

This paper is concerned with the asymptotic stability derived for the two-dimensional incompressible Navier–Stokes equations with multidelays on Lipschitz domain, which models the control theory of 2D fluid flow. By a new retarded Gronwall inequality and estimates of stream function for Stokes equations, the complete trajectories inside pullback attractors are asymptotically stable via the restriction on the generalized Grashof number of fluid flow. The results in this presented paper are some extension of the literature by Yang, Wang, Yan and Miranville in 2021, as well as also the preprint by Su, Yang, Miranville and Yang in 2022

Suggested Citation

  • Ling-Rui Zhang & Xin-Guang Yang & Ke-Qin Su, 2022. "Asymptotic Stability for the 2D Navier–Stokes Equations with Multidelays on Lipschitz Domain," Mathematics, MDPI, vol. 10(23), pages 1-12, December.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:23:p:4561-:d:990988
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/10/23/4561/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/10/23/4561/
    Download Restriction: no
    ---><---

    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:10:y:2022:i:23:p:4561-:d:990988. 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.