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A Regularity Criterion for the 3D Generalized MHD Equations

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Abstract

This paper proves a new regularity criterion for the 3D generalized MHD system with fractional diffusion terms ( − Δ)αu and ( − Δ)βb with \(0<\alpha <\frac 54\leqslant \beta \).

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Authors and Affiliations

  1. Department of Applied Mathematics, Nanjing Forestry University, Nanjing, 210037, People’s Republic of China

    Jishan Fan

  2. Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, 21589, Saudi Arabia

    Ahmed Alsaedi, Tasawar Hayat & Yong Zhou

  3. Department of Mathematics, Quaid-I-Azam University 45320, Islamabad, 44000, Pakistan

    Tasawar Hayat

  4. Department of Mathematics, Inha University, Incheon, 402-751, Korea

    Gen Nakamura

  5. School of Mathematics, Shanghai University of Finance and Economics, Shanghai, 200433, People’s Republic of China

    Yong Zhou

Authors
  1. Jishan Fan
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  2. Ahmed Alsaedi
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  3. Tasawar Hayat
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  4. Gen Nakamura
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  5. Yong Zhou
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Corresponding author

Correspondence to Yong Zhou.

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Fan, J., Alsaedi, A., Hayat, T. et al. A Regularity Criterion for the 3D Generalized MHD Equations. Math Phys Anal Geom 17, 333–340 (2014). https://doi.org/10.1007/s11040-014-9159-0

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  • DOI: https://doi.org/10.1007/s11040-014-9159-0

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