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

Autor: Ahmad Mohammed Alghamdi, Sadek Gala, Maria Alessandra Ragusa
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