Abstract
In this paper, we consider the regularity criterion for the 3D MHD equations and prove that if the gradient of the pressure belongs to \({L^\frac{2}{2-r}(0,T;\dot X_r(\mathbb{R}^{3}))}\) with \({0\leq r\leq 1}\) , then the solution is smooth. Notice that we extend the result given by Gala (Appl Anal 92:96–103, 2013).
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Zhang, Z., Hong, P., Zhong, D. et al. A regularity criterion for the 3D MHD equations in terms of the gradient of the pressure in the multiplier spaces. Arab. J. Math. 4, 153–157 (2015). https://doi.org/10.1007/s40065-014-0123-4
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DOI: https://doi.org/10.1007/s40065-014-0123-4