IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v10y2022i21p3999-d955912.html
   My bibliography  Save this article

Inviscid Limit of 3D Nonhomogeneous Navier–Stokes Equations with Slip Boundary Conditions

Author

Listed:
  • Hongmin Li

    (School of Mathematics and Statistics, Huanghuai University, Zhumadian 463000, China)

  • Yuanxian Hui

    (School of Mathematics and Statistics, Huanghuai University, Zhumadian 463000, China)

  • Zhong Zhao

    (School of Mathematics and Statistics, Huanghuai University, Zhumadian 463000, China)

Abstract

In this paper, we consider the inviscid limit of a nonhomogeneous incompressible Navier–Stokes system with a slip-without-friction boundary condition. We study the convergence in strong norms for a solution and obtain the convergence rate in space W 2 , p ( Ω ) when the boundary is flat. We need to establish the uniform bound of the solution in space W 3 , p ( Ω ) , and the key of proofs is to obtain a priori estimation of ∂ t u in space W 1 , p ( Ω ) .

Suggested Citation

  • Hongmin Li & Yuanxian Hui & Zhong Zhao, 2022. "Inviscid Limit of 3D Nonhomogeneous Navier–Stokes Equations with Slip Boundary Conditions," Mathematics, MDPI, vol. 10(21), pages 1-12, October.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:21:p:3999-:d:955912
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/10/21/3999/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/10/21/3999/
    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:21:p:3999-:d:955912. 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.