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Abstract
In this paper, we study the blow-up criterion of the smooth solutions to the three-dimensional incompressible resistive viscous Hall-magnetohydrodynamic equations in terms of and
or
and
in Lebesgue spaces or
in Besov space
and
in
space, where
denotes
. We also obtain a priori estimate of velocity and magnetic field in the space of
on
.
Notes
No potential conflict of interest was reported by the authors.
Additional information
Funding
The research of B. Yuan was partially supported by the National Natural Science Foundation of China [grant number 11471103].