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Keywords:
non-Newtonian fluid; magnetohydrodynamics; regularity criterion; weak-strong uniqueness
non-Newtonian fluid; magnetohydrodynamics; regularity criterion; weak-strong uniqueness
Summary:
We investigate regularity criteria for weak solutions to the three-dimensional non-Newtonian MHD-type system for $\frac {11}{5}\leq q < \frac {5}{2}$ under a sufficient condition involving only the magnetic field. In addition, weak-strong uniqueness in $\mathbb {R}^3$ is established for $q\geq \frac {5}{2}$.
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