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Zero Mach number limit of the compressible Hall-magnetohydrodynamic equations

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Abstract

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.

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  1. Department of Mathematics, Nanjing University, Nanjing, 210093, People’s Republic of China

    Yanmin Mu

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  1. Yanmin Mu
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Mu, Y. Zero Mach number limit of the compressible Hall-magnetohydrodynamic equations. Z. Angew. Math. Phys. 67, 1 (2016). https://doi.org/10.1007/s00033-015-0604-0

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  • DOI: https://doi.org/10.1007/s00033-015-0604-0

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