In this thesis, we establish a Serrin-type blowup criterion for the Cauchy prob-lem of the three dimensional compressible Navier-Stokes-Maxwell system, which states a classical solution exists globally, provided that the velocity satisfies Serrin’s condition and that the L∞tL∞x -norm of density ρ and the L3tL2x.-norm of (?)2E are bounded. |