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On well-posedness and blowup criteria for the magnetohydrodynamics with the Hall and ion-slip effects

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Abstract

In this paper, we prove some regularity criteria and the local well-posedness of strong solutions to the magnetohydrodynamics with the Hall and ion-slip effects. We also establish global existence and time decay rate for small data.

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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, City University of Hong Kong, Tat Chee Avenue, Kowloon, Hong Kong SAR

    Xuanji Jia

  3. Department of Mathematics, Inha University, Incheon, 4c02-751, Korea

    Gen Nakamura

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

    Yong Zhou

  5. Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Faculty of Science, King Abdulaziz University, Jeddah, 21589, Saudi Arabia

    Yong Zhou

Authors
  1. Jishan Fan
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  2. Xuanji Jia
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  3. Gen Nakamura
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  4. Yong Zhou
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Correspondence to Yong Zhou.

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Fan, J., Jia, X., Nakamura, G. et al. On well-posedness and blowup criteria for the magnetohydrodynamics with the Hall and ion-slip effects. Z. Angew. Math. Phys. 66, 1695–1706 (2015). https://doi.org/10.1007/s00033-015-0499-9

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  • DOI: https://doi.org/10.1007/s00033-015-0499-9

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