Blow-up criteria for three-dimensional compressible radiation hydrodynamics equations with vacuum

We consider the blow-up criteria for the Cauchy problems of three-dimensional compressible radiation fluids with vacuum. It is shown to own the same BKM-type criterion as the compressible Navier-Stokes equations [14], while the Lp˜(p˜∈[2,3]) norm of the density gradient should be involved for the Serrin-type criterion.