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Regularity criteria for the three-dimensional MHD equations

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Abstract

In this paper, we consider regularity criteria for solutions to the 3D MHD equations with incompressible conditions. By using some classical inequalities, we obtain the regularity of strong solutions to the three-dimensional MHD equations under certain sufficient conditions in terms of one component of the velocity field and the magnetic field respectively.

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Authors and Affiliations

  1. Institute for Mathematics and Information Sciences, Guangzhou University, Guangzhou, 510006, China

    Lan Luo

  2. School of Mathematics and Computional Science, Xiangtan University, Xiangtan, 411105, China

    Yong-ye Zhao & Qing Yang

Authors
  1. Lan Luo
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  2. Yong-ye Zhao
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  3. Qing Yang
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Corresponding author

Correspondence to Lan Luo.

Additional information

Supported by the National Natural Science Foundation of China (No. 10971174).

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Luo, L., Zhao, Yy. & Yang, Q. Regularity criteria for the three-dimensional MHD equations. Acta Math. Appl. Sin. Engl. Ser. 27, 581–594 (2011). https://doi.org/10.1007/s10255-011-0108-4

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  • DOI: https://doi.org/10.1007/s10255-011-0108-4

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