In this paper, the 3-D compressible MHD equations with initial vacuum orinfinity electric conductivity is considered. We prove that the $L^\infty$norms of the deformation tensor $D(u)$ and the absolute temperature $\theta$control the possible blow-up (see [5][18][20]) for strong solutions, whichmeans that if a solution of the compressible MHD equations is initially regularand loses its regularity at some later time, then the formation of singularitymust be caused by losing the bound of $D(u)$ and $\theta$ as the critical timeapproaches. The viscosity coefficients are only restricted by the physicalconditions. Our criterion (see (\ref{eq:2.911})) is similar to [17] for $3$-Dincompressible Euler equations, [10] for $3$-D compressible isentropicNavier-stokes equations and [22]for $3$-D compressible isentropic MHDequations.
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