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arXiv · 2002.07011

New Regularity Criteria for Weak Solutions to the MHD Equations in Terms of an Associated Pressure

Jiri Neustupa·Minsuk Yang
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Abstract

We prove that if $0 0$, where $\mathcal{F}_{\gamma}(s)=s\, [\ln{}(1+ s)]^{1+\gamma}$ and the subscripts "$-$" and "$+$" denote the negative and the nonnegative part, respectively, then the solution $(\mathbf{u},\mathbf{b},p)$ has no singular points in $\mathbb{R}^3\times(0,T_0]$.

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Jiri Neustupa, Minsuk Yang. 2020-02-17. New Regularity Criteria for Weak Solutions to the MHD Equations in Terms of an Associated Pressure. https://doi.org/10.1007/s00021-021-00597-9

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