Abstract
In this paper, we study global well-posedness of the three-dimensional MHD-Boussinesq equations. The global existence of axisymmetric strong solutions to the MHD-Boussinesq equations in the presence of magnetic diffusion is shown by providing some smallness conditions only on the swirl component of velocity. As a by-product, long-time asymptotic behaviors are also presented.
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The data that support the findings of this study are available from the corresponding author upon reasonable request.
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Acknowledgements
The authors thank the reviewers for their helpful comments on the initial manuscript, which improved the paper significantly. Z. Guo was partially supported by Natural Science Foundation of Jiangsu Province (BK20201478) and Qing Lan Project of Jiangsu Universities. Z. Skalak was supported by the European Regional Development Fund, Project No. CZ.02.1.01/0.0/0.0/16_019/0000778.
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Guo, Z., Zhang, Z. & Skalák, Z. Global Well-Posedness and Asymptotic Behavior of the 3D MHD-Boussinesq Equations. J Nonlinear Sci 33, 61 (2023). https://doi.org/10.1007/s00332-023-09920-2
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DOI: https://doi.org/10.1007/s00332-023-09920-2