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摘要
This paper is concerned with a blow-up criterion of strong solutions for three-dimensional compressible isentropic magnetohydrodynamic equations with vacuum. It is shown that if the density and velocity satisfy parallel to rho parallel to(L)infinity((0,T; L)infinity) + parallel to u parallel to L-s(0,T; L-w(r)) < infinity , where 2/s + 3/r <= 1, 3 < r <= infinity and L-w(r) not superset of L-r denotes the weak L-r-space, then the strong solutions to the Cauchy problem of the compressible magnetohydrodynamic equations can exist globally over [0, T].
