Interior regularity criteria in weak spaces for the Navier-Stokes equations

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On the regularity criteria for weak solutions to the magnetohydrodynamic equations (2007, methodology): “Similar regularity criteria have been obtained for incompressible Navier–Stokes equation in [9] and [14].”
On the interior regularity criteria and the number of singular points to the Navier-Stokes equations (2014, methodology): “For = ∞, we improve the results of Kim-Kozono [13] and He-Wang [12], where the smallness of all components of the velocity is imposed.”