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A BLOW-UP CRITERION FOR 3D COMPRESSIBLE MAGNETOHYDRODYNAMIC EQUATIONS WITH VACUUM

    https://doi.org/10.1142/S0218202511500102Cited by:44 (Source: Crossref)

    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 , where , 3 < r ≤ ∞ and denotes the weak Lr-space, then the strong solutions to the Cauchy problem of the compressible magnetohydrodynamic equations can exist globally over [0, T].

    AMSC: 76W05, 76N10, 35B40, 35B45
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