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

Jishan Fan; Fucai Li; Gen Nakamura

doi:10.3934/cpaa.2017084

Article Contents

2017, Volume 16, Issue 5: 1731-1740. Doi: 10.3934/cpaa.2017084

This issue Previous Article Scale-free and quantitative unique continuation for infinite dimensional spectral subspaces of Schrödinger operators Next Article Semilinear nonlocal elliptic equations with critical and supercritical exponents

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
F. Li is the corresponding author

Received: October 2016

Revised: April 2017

Published: October 2017

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Abstract

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.

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Mathematics Subject Classification: Primary: 76W05; Secondary: 35Q80, 70S15, 35Q60.

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