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Regularity criteria in weak spaces in terms of the pressure to the MHD equations

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  • We study regularity of weak solutions to the viscous incompressible magnetohydrodynamic equations in $\mathbb{R}^3 \times (0, T)$. We give regularity criteria for weak solutions in terms of the pressure and the magnetic elds in Lorentz spaces.
    Mathematics Subject Classification: Primary: 35Q35; Secondary: 76D03, 76W05.

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