In this paper, we consider the global existence and decay rates of strong solutions\nto the three-dimensional compressible quantum Hall-magneto-hydrodynamics\nequations. By combing the Lp-Lq estimates for the linearized equations and a\nstandard energy method, the global existence and its convergence rates are\nobtained in various norms for the solution to the equilibrium state in the\nwhole space when the initial perturbation of the stationary solution is small in\nsome Sobolev norms. More precisely, the decay rates in time of the solution\nand its first order derivatives in L2-norm are obtained when the L1-norm of\nthe perturbation is bounded.
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