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Global Regularity of Three-Dimensional Incompressible Magneto-Micropolar Fluid Equations with Damping

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Abstract

We deal with the Cauchy problem of three-dimensional incompressible magneto-micropolar fluid equations with a nonlinear damping term \(\alpha |{\mathbf {u}}|^{\beta -1}{\mathbf {u}}\ (\alpha >0\ \text {and}\ \beta \ge 1)\) in the momentum equations. By cancelation properties of the system under study, we show that there exists a unique global strong solution for any \(\beta \ge 4\). Our work extends previous results.

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Acknowledgements

The authors would like to thank the anonymous referee for helpful comments and suggestions, which greatly improved the quality of the manuscript.

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Authors and Affiliations

  1. Institute of Innovation and Entrepreneurship, Southwest University, Chongqing, 400715, People’s Republic of China

    Yuze Deng

  2. School of Mathematics and Statistics, Southwest University, Chongqing, 400715, People’s Republic of China

    Ling Zhou

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  1. Yuze Deng
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  2. Ling Zhou
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Correspondence to Ling Zhou.

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Communicated by Yong Zhou.

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Deng, Y., Zhou, L. Global Regularity of Three-Dimensional Incompressible Magneto-Micropolar Fluid Equations with Damping. Bull. Malays. Math. Sci. Soc. 44, 1417–1423 (2021). https://doi.org/10.1007/s40840-020-01021-7

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  • DOI: https://doi.org/10.1007/s40840-020-01021-7

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