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On the Regularity Criterion of Weak Solution for the 3D Viscous Magneto-Hydrodynamics Equations

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Abstract

We improve and extend some known regularity criterion of the weak solution for the 3D viscous Magneto-hydrodynamics equations by means of the Fourier localization technique and Bony’s para-product decomposition.

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Authors and Affiliations

  1. Institute of Applied Physics and Computational Mathematics, P.O. Box 8009, Beijing, 100088, P. R. China

    Qionglei Chen & Changxing Miao

  2. School of Mathematical Science, Peking University, Beijing, 100871, P. R. China

    Zhifei Zhang

Authors
  1. Qionglei Chen
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  2. Changxing Miao
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  3. Zhifei Zhang
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Correspondence to Changxing Miao.

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Communicated by P. Constantin

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Chen, Q., Miao, C. & Zhang, Z. On the Regularity Criterion of Weak Solution for the 3D Viscous Magneto-Hydrodynamics Equations. Commun. Math. Phys. 284, 919–930 (2008). https://doi.org/10.1007/s00220-008-0545-y

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  • DOI: https://doi.org/10.1007/s00220-008-0545-y

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