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- W2560366949 abstract "In this paper, we will establish a sufficient condition for the regularity criterion to the 3D MHD equation in terms of the derivative of the pressure in one direction. It is shown that if the partial derivative of the pressure $partial _{3}pi $ satisfies the logarithmical Serrin type condition $partial _{3}pi $ satisfies the logarithmical Serrin type condition begin{equation*} int_{0}^{T}frac{leftVert partial _{3}pi (s)rightVert _{overset{% cdot }{mathcal{M}}_{2,frac{3}{r}}}^{frac{2}{2-r}}}{1+ln (1+leftVert b(s)rightVert _{L^{4}})}ds<infty text{ for }0<1, end{equation*} then the solution $(u,b)$ remains smooth on $left[ 0,Tright] $. Compared to the Navier-Stokes result, there is a logarithmic correction involving $b$ in the denominator." @default.
- W2560366949 created "2016-12-16" @default.
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- W2560366949 date "2016-01-01" @default.
- W2560366949 modified "2023-09-25" @default.
- W2560366949 title "A logarithmically improved regularity criterion for the 3D MHD equations in Morrey-Campanato space" @default.
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- W2560366949 doi "https://doi.org/10.3934/math.2017.1.16" @default.
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