Abstract
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.
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