Global existence and optimal convergence rates of solutions for 3D compressible magneto-micropolar fluid equations

The Cauchy problem for the three-dimensional compressible magneto-micropolar fluid equations is considered. Existence of global-in-time smooth solutions is established under the condition that the initial data are small perturbations of some given constant state. Moreover, we obtain the time decay rates of the higher order spatial derivatives of the solution by combining the L-P-L-q estimates for the linearized equations and the Fourier splitting method, if the initial perturbation is small in H-3-norm and bounded in L-1-norm. (C) 2017 Elsevier Inc. All rights reserved.