Blow-up criterion for 3D compressible viscous magneto-micropolar fluids with initial vacuum

In this paper, the author establishes a blow-up criterion of strong solutions to 3D compressible viscous magneto-micropolar fluids. It is shown that if the density and the velocity satisfy ∥ρ∥L∞(0,T;L∞)+∥u∥Ls(0,T;Lr)<∞, where 2s+3r≤1 and 3<r≤∞, then the strong solutions to the Cauchy problem can exist globally over R3×[0,T]. The initial density may vanish on open sets, that is, the initial vacuum is allowed.