IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v10y2022i21p4052-d959617.html
   My bibliography  Save this article

Convergence of the Boundary Parameter for the Three-Dimensional Viscous Primitive Equations of Large-Scale

Author

Listed:
  • Zhanwei Guo

    (Department of Basic, Guangdong Communication Polytechnic, Guangzhou 510650, China)

  • Jincheng Shi

    (School of Data Science, Guangzhou Huashang College, Guangzhou 511300, China)

  • Danping Ding

    (Faculty of Science, Jiangsu University, Zhenjing 212013, China)

Abstract

The main objective of this paper is concerned with the convergence of the boundary parameter for the large-scale, three-dimensional, viscous primitive equations. Such equations are often used for weather prediction and climate change. Under the assumptions of some boundary conditions, we obtain a prior bounds for the solutions of the equations by using the differential inequality technology and method of the energy estimates, and the convergence of the equations on the boundary parameter is proved.

Suggested Citation

  • Zhanwei Guo & Jincheng Shi & Danping Ding, 2022. "Convergence of the Boundary Parameter for the Three-Dimensional Viscous Primitive Equations of Large-Scale," Mathematics, MDPI, vol. 10(21), pages 1-11, November.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:21:p:4052-:d:959617
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/10/21/4052/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/10/21/4052/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Liu, Yan, 2017. "Continuous dependence for a thermal convection model with temperature-dependent solubility," Applied Mathematics and Computation, Elsevier, vol. 308(C), pages 18-30.
    2. Liu, Yan & Qin, Xulong & Shi, Jincheng & Zhi, Wenjing, 2021. "Structural stability of the Boussinesq fluid interfacing with a Darcy fluid in a bounded region in R2," Applied Mathematics and Computation, Elsevier, vol. 411(C).
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Jincheng Shi & Yan Liu, 2022. "Continuous Dependence for the Boussinesq Equations under Reaction Boundary Conditions in R 2," Mathematics, MDPI, vol. 10(6), pages 1-14, March.
    2. Liu, Yan & Xiao, Shengzhong & Lin, Yiwu, 2018. "Continuous dependence for the Brinkman–Forchheimer fluid interfacing with a Darcy fluid in a bounded domain," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 150(C), pages 66-82.
    3. Liu, Yan & Qin, Xulong & Shi, Jincheng & Zhi, Wenjing, 2021. "Structural stability of the Boussinesq fluid interfacing with a Darcy fluid in a bounded region in R2," Applied Mathematics and Computation, Elsevier, vol. 411(C).

    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:4052-:d:959617. 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.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with 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.