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

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

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...

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Bibliographic Details
Main Authors:	Ahmad Mohammed Alghamdi, Sadek Gala, Maria Alessandra Ragusa
Format:	Article
Language:	English
Published:	Sapienza Università Editrice 2022-04-01
Series:	Rendiconti di Matematica e delle Sue Applicazioni
Subjects:	mhd equations regularity criterion a priori estimates
Online Access:	https://www1.mat.uniroma1.it/ricerca/rendiconti/ARCHIVIO/2022(3)/165-171.pdf

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