Global classical solutions to the 3D Cauchy problem of compressible magneto-micropolar fluid equations with far field vacuum

This paper concerns the three-dimensional Cauchy problem of compressible isentropic magneto-micropolar fluid equations with initial density containing vacuum states. Based on energy method and structural characteristics model, we show global existence classical solutions provided that $ \big[(\gamma-1)^\frac{1}{9}+\nu^{-\frac{1}{4}}\big]E_0 is suitably small, where \gamma, \nu $, E_0 represent adiabatic exponent, resistivity coefficient, energy, respectively. Our result an extension work Wei–Guo–Li (J. Differential Equations, 263: 2457–2480, 2017), smooth was established under condition data are small perturbations some given constant state.