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The anisotropic integrability logarithmic regularity criterion for the 3D MHD equations

The anisotropic integrability logarithmic regularity criterion for the 3D MHD equations

<p style='text-indent:20px;'>This study is devoted to investigating the regularity criterion of the 3D MHD equations in terms of pressure in the framework of anisotropic Lebesgue spaces. The result shows that if a weak solution <inline-formula><tex-math id="M1">$ (u, b) $</tex-math></inline-formula> satisfies</p><p style='text-indent:20px;'><disp-formula> <label/> <tex-math id="FE45"> $ \begin{equation} \int_{0}^{T}{\frac{\left\Vert \left\Vert \partial _{3}\pi …