Abstract
In this paper, we prove the global well-posedness of the 3-D magneto hydrodynamics (MHD) equations with partial diffusion in the periodic domain when the initial velocity is small and the initial magnetic field is close to a background magnetic field satisfying the Diophantine condition.
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Acknowledgements
The second author was supported by National Natural Science Foundation of China (Grant No. 11425103). The third author was supported by the Postdoctoral Science Foundation of China (Grant No. 2019TQ0006).
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Chen, W., Zhang, Z. & Zhou, J. Global well-posedness for the 3-D MHD equations with partial diffusion in the periodic domain. Sci. China Math. 65, 309–318 (2022). https://doi.org/10.1007/s11425-021-1861-y
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DOI: https://doi.org/10.1007/s11425-021-1861-y