A regularity criterion of 3D incompressible MHD system with mixed pressure-velocity-magnetic field
Autor: | Ahmad Mohammed Alghamdi, Sadek Gala, Maria Alessandra Ragusa |
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Jazyk: | English<br />French<br />Italian |
Rok vydání: | 2022 |
Předmět: | |
Zdroj: | Rendiconti di Matematica e delle Sue Applicazioni, Vol 43, Iss 3-4, Pp 165-171 (2022) |
Druh dokumentu: | article |
ISSN: | 1120-7183 2532-3350 |
Popis: | 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. |
Databáze: | Directory of Open Access Journals |
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