Abstract
This paper is concerned with the low Mach number limit of the compressible Hall-magnetohydrodynamic model for quantum plasmas in \( {\mathbb {T}}^{3}\). It is justified rigorously that, for the well-prepared initial data, as the Mach number tends to zero, the classical solution of the compressible quantum Hall-magnetohydrodynamic model converges to that of the incompressible Hall-magnetohydrodynamic model.
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Acknowledgements
J. Li’s research was partially supported by the Young Foundation Teacher of Henan Province (Grant No. 2019GGJS100). J. Yang’s research was partially supported by National Natural Science Foundation of China (Grant No. 12061040) and Natural Science Foundation of Henan Province (Grant No. 202300410277).
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Li, J., Yang, J. & Liu, M. Asymptotic limit of compressible Hall-magnetohydrodynamic model with quantum effects. Z. Angew. Math. Phys. 72, 101 (2021). https://doi.org/10.1007/s00033-021-01533-7
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DOI: https://doi.org/10.1007/s00033-021-01533-7
Keywords
- Compressible Hall-magnetohydrodynamic equations
- Incompressible Hall-magnetohydrodynamic equations
- Asymptotic limit
- Quantum effects