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Low Regularity Well-Posedness for the 3D Generalized Hall-MHD System

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Abstract

In this paper, we obtain the local well-posedness for the 3D incompressible Hall-magnetohydrodynamics (Hall-MHD) system with \(\varLambda^{2\alpha }u\) and \(\varLambda^{2\beta }B\), \(0<\alpha \le 1\), \(\frac{1}{2}<\beta \le 1\). Our results improve regularity conditions on the initial data of previous works.

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Acknowledgements

This work is partially supported by NSFC (No. 11171154). The authors would like to thank the referees for careful reading and helpful comments.

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Authors and Affiliations

  1. Department of Mathematics, Zhejiang University, Hanzhou, 310027, China

    Renhui Wan

  2. School of Mathematics, Shanghai University of Finance and Economics, Shanghai, 200433, China

    Yong Zhou

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

    Yong Zhou

Authors
  1. Renhui Wan
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  2. Yong Zhou
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Correspondence to Yong Zhou.

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Wan, R., Zhou, Y. Low Regularity Well-Posedness for the 3D Generalized Hall-MHD System. Acta Appl Math 147, 95–111 (2017). https://doi.org/10.1007/s10440-016-0070-5

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  • DOI: https://doi.org/10.1007/s10440-016-0070-5

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