A free boundary problem for planar compressible Hall-magnetohydrodynamic equations

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作者
Qiang Tao
Ying Yang
Jincheng Gao
机构
[1] Shenzhen University,School of Mathematics and Statistics
[2] Sun Yat-sen University,School of Mathematics
关键词
Hall-magnetohydrodynamic equations; Classical solution; Free boundary problem; Large initial data; 35R35; 35Q35; 76W05;
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摘要
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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