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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
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    References listed on IDEAS

    as
    1. 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).
    2. 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.
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