Blowup criterion for the three-dimensional equations of compressible viscous micropolar fluids with vacuum

In this paper, we prove a blowup criterion of strong solutions to the Cauchy problem for the three-dimensional equations of compressible viscous micropolar fluids. It is shown that if the density and the velocity satisfy ‖ρ‖L∞(0,T;L∞)+‖ρ1/2u‖Ls(0,T;Lr)<∞‖ρ‖L∞(0,T;L∞)+‖ρ1/2u‖Ls(0,T;Lr)<∞ with 2/s+3/r≤12/s+3/r≤1 and 3