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math.AP2021
The local characterizations of the singularity formation for the MHD equations
Wenke Tan, Fan Wu
This paper characterizes the possible blow-up of solutions for the 3D magneto-hydrodynamics (MHD for short) equations. We first establish some -regularity criteria in $L^{q,\inf…
math.AP2020
A regularity criterion for three-dimensional micropolar fluid equations in Besov spaces of negative regular indices
Fan Wu, Maria Alessandra Ragusa
In this article, we study regularity criteria for the 3D micropolar fluid equations in terms of one partial derivative of the velocity. It is proved that if \begin{equation*} \int^…