Zero Mach number limit of the compressible Hall-magnetohydrodynamic equations

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• 作者：Yanmin Mu
• 关键词：35Q30 ; 76D03 ; 76D05 ; 76D07 ; Compressible Hall ; magnetohydrodynamic equations ; Incompressible Hall ; magnetohydrodynamic equations ; Low Mach number limit
• 刊名：Zeitschrift f¨¹r angewandte Mathematik und Physik
• 出版年：2016
• 出版时间：February 2016
• 年：2016
• 卷：67
• 期：1
• 全文大小：527 KB
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• 作者单位：Yanmin Mu (1)
  
  1. Department of Mathematics, Nanjing University, Nanjing, 210093, People’s Republic of China
  
• 刊物主题：Theoretical and Applied Mechanics; Mathematical Methods in Physics;
• 出版者：Springer Basel
• ISSN：1420-9039

文摘

In this paper, we study the low Mach number limit of the compressible Hall-magnetohydrodynamic equations. It is justified rigorously that, for the well-prepared initial data, the classical solutions of the compressible Hall-magnetohydrodynamic equations converge to that of the incompressible Hall-magnetohydrodynamic equations as the Mach number tends to zero. Keywords Compressible Hall-magnetohydrodynamic equations Incompressible Hall-magnetohydrodynamic equations Low Mach number limit