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Continuous dependence of 2D large scale primitive equations on the boundary conditions in oceanic dynamics

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Abstract

In this paper, we consider an initial boundary value problem for the two-dimensional primitive equations of large scale oceanic dynamics. Assuming that the depth of the ocean is a positive constant, we establish rigorous a priori bounds of the solution to problem. With the aid of these a priori bounds, the continuous dependence of the solution on changes in the boundary terms is obtained.

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Acknowledgments

The authors would like to deeply thank all the reviewers for their insightful and constructive comments.

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Authors and Affiliations

  1. Huashang College, Guangdong University of Finance and Economics, Guangzhou, 511300, P. R. China

    Yuanfei Li

  2. Guangdong AIB College, Guangzhou, Guangdong, 510507, P. R. China

    Shengzhong Xiao

Authors
  1. Yuanfei Li
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  2. Shengzhong Xiao
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Correspondence to Yuanfei Li.

Additional information

This work was supported by the Research team project of Guangzhou Huashang College (2021HSKT01).

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Li, Y., Xiao, S. Continuous dependence of 2D large scale primitive equations on the boundary conditions in oceanic dynamics. Appl Math 67, 103–124 (2022). https://doi.org/10.21136/AM.2021.0076-20

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