Regularity results for weak solutions of the 3D MHD equations

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Asymptotic regularity of trajectory attractor and trajectory statistical solution for the 3D globally modified Navier–Stokes equations (2019, methodology): “We believe that the approach using trajectory attractor to construct trajectory statistical solution here can be raised to an abstract level for a broad class of evolutionary equations displaying the property of global existence of weak solutions without a known result of global uniqueness, such as ”
Global Regularity for a Class of Generalized Magnetohydrodynamic Equations (2011, unknown): “, [3,4,8–11,13–15,17,20–23,25]).”
Remarks on regularities for the 3D MHD equations (2005, unknown): “3 Very recently, the author found that Wu [10] showed similar results under conditions adding on both velocity field and magnetic field.”
The Beale-Kato-Majda Criterion for the 3D Magneto-Hydrodynamics Equations (2007, unknown): “Wu [22] also extended some Serrin type criterion for the Navier-Stokes equations to the MHD equations.”
Two regularity criteria for the 3D MHD equations (2009, background): “…issues such as the global regularity of their solutions have generated extensive research and many interesting results have been obtained (see, e.g., [2],[7],[11],[13],[16],[17], [18],[19],[23],[26],[27],[28],[34], [35],[36],[38],[39],[40],[43],[45], [47],[48],[49],[50],[51],[52],[55]).”