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Regularity and Global Existence on the 3D Tropical Climate Model

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Abstract

In this paper, we consider the regularity criteria, where a condition is added only on the velocity field to guarantee the smoothness of whole unknowns, and the global existence of the solutions with small initial data for the 3D tropical climate model with diffusion.

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Acknowledgements

This work is partially supported by Natural Science Foundation of Anhui Province Higher School (Grant No: KJ2017A622) and Postgraduate Students Innovation Foundation of Shanghai University of Finance and Economics (CXJJ-2017-442).

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Authors and Affiliations

  1. School of Mathematics, Shanghai University of Finance and Economics, Shanghai, 200433, People’s Republic of China

    Yanan Wang

  2. Department of Mathematics, Zhejiang Normal University, Jinhua, 314001, People’s Republic of China

    Shuyun Zhang

  3. Common Department of Mathematics, Anhui Xinhua University, Hefei, 230088, People’s Republic of China

    Nana Pan

Authors
  1. Yanan Wang
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  2. Shuyun Zhang
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  3. Nana Pan
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Corresponding author

Correspondence to Yanan Wang.

Additional information

Communicated by Ahmad Izani Md. Ismail.

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Wang, Y., Zhang, S. & Pan, N. Regularity and Global Existence on the 3D Tropical Climate Model. Bull. Malays. Math. Sci. Soc. 43, 641–650 (2020). https://doi.org/10.1007/s40840-018-00707-3

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  • DOI: https://doi.org/10.1007/s40840-018-00707-3

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