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A free boundary problem for planar compressible Hall-magnetohydrodynamic equations

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Abstract

In this paper, we study the existence and uniqueness of the global classical solution for the planar compressible Hall-magnetohydrodynamic equations with large initial data. The system is supplemented with free boundary and smooth initial conditions. The proof relies on the bounds of the density and the skew-symmetric structure of the Hall term.

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Acknowledgements

Tao is partially supported by the National Science Foundation of China (No. 11501378), Guangdong Natural Science Foundation (Nos. 2014A030310074, 2016A030313048). Yang is partially supported by the National Science Foundation of China (No. 11301345). Gao is partially supported by Guangdong Natural Science Foundation (No. 2014A030313161), China Postdoctoral Science Foundation Project (Nos. 2016M600064, 2017T100053), and the National Science Foundation of China (No. 11571380).

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Authors and Affiliations

  1. School of Mathematics and Statistics, Shenzhen University, Shenzhen, 518060, People’s Republic of China

    Qiang Tao & Ying Yang

  2. School of Mathematics, Sun Yat-sen University, Guangzhou, 510275, People’s Republic of China

    Jincheng Gao

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  1. Qiang Tao
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  2. Ying Yang
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  3. Jincheng Gao
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Correspondence to Ying Yang.

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Tao, Q., Yang, Y. & Gao, J. A free boundary problem for planar compressible Hall-magnetohydrodynamic equations. Z. Angew. Math. Phys. 69, 15 (2018). https://doi.org/10.1007/s00033-018-0912-2

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  • DOI: https://doi.org/10.1007/s00033-018-0912-2

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