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math.AP2022★ 1 cited
A regularity criterion in multiplier spaces to Navier-Stokes equations via the gradient of one velocity component
Ahmad M. Alghamdi, Sadek Gala, Maria Alessandra Ragusa
In this paper, we study regularity of weak solutions to the incompressible Navier-Stokes equations in . The main goal is to establish the regularity cri…
math.AP2022★ 2 cited
A regularity criterion of 3D incompressible MHD system with mixed pressure-velocity-magnetic field
Ahmad M. Alghamdi, Sadek Gala, Maria Alessandra Ragusa
This work focuses on the 3D incompressible magnetohydrodynamic (MHD) equations with mixed pressure-velocity-magnetic field in view of Lorentz spaces. Our main result shows the weak…