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1. A regularity criterion of 3D incompressible MHD system with mixed pressure-velocity-magnetic field

Author

Ahmad Mohammed Alghamdi, Sadek Gala, and Maria Alessandra Ragusa

Subjects
mhd equations, regularity criterion, a priori estimates, Mathematics, QA1-939
Abstract

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 solution is regular, provided that π e−|x| 2 + |u| + |b| θ ∈ L p (0, T; L q,∞), where 2 p + 3 q = 2 − θ and 0 ≤ θ ≤ 1.

Published
2022

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