Decay rates of the compressible Hall-magnetohydrodynamic model for quantum plasmas

In this paper, the compressible Hall-magnetohydrodynamic model for quantum plasmas in three-dimensional whole space is considered. By using the Lp-Lq estimates and the Fourier splitting method, if the initial perturbation is small in H4 × H3 × H3 and bounded in the L1 norm, we obtain the time decay...

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Bibliographic Details
Published in:Journal of mathematical physics 2020-04, Vol.61 (4)
Main Authors: Xi, Xiaoyu, Pu, Xueke, Guo, Boling
Format: Article
Language:English
Subjects:
Compressibility
Computational fluid dynamics
Decay rate
Fluid flow
Magnetohydrodynamics
Perturbation
Physics
Plasmas (physics)
Three dimensional models
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Summary:In this paper, the compressible Hall-magnetohydrodynamic model for quantum plasmas in three-dimensional whole space is considered. By using the Lp-Lq estimates and the Fourier splitting method, if the initial perturbation is small in H4 × H3 × H3 and bounded in the L1 norm, we obtain the time decay rates for low- and higher-order spatial derivatives of density, velocity, and magnetic field.
ISSN:0022-2488
1089-7658
DOI:10.1063/1.5133774