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September  2017, 16(5): 1731-1740. doi: 10.3934/cpaa.2017084

## Low Mach number limit of the full compressible Hall-MHD system

 1 Department of Applied Mathematics, Nanjing Forestry University, Nanjing 210037, China 2 Department of Mathematics, Nanjing University, Nanjing 210093, China 3 Department of Mathematics, Hokkaido University, Sapporo, 060-0810, Japan

F. Li is the corresponding author

Received  October 2016 Revised  April 2017 Published  May 2017

In this paper we study the low Mach number limit of the full compressible Hall-magnetohydrodynamic (Hall-MHD) system in $\mathbb{T}^3$. We prove that, as the Mach number tends to zero, the strong solution of the full compressible Hall-MHD system converges to that of the incompressible Hall-MHD system.

Citation: Jishan Fan, Fucai Li, Gen Nakamura. Low Mach number limit of the full compressible Hall-MHD system. Communications on Pure & Applied Analysis, 2017, 16 (5) : 1731-1740. doi: 10.3934/cpaa.2017084
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