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A regularity criterion of 3D incompressible MHD system with mixed pressure-velocity-magnetic field
- Source :
- Rendiconti di Matematica e delle Sue Applicazioni, Vol 43, Iss 3-4, Pp 165-171 (2022)
- Publication Year :
- 2022
- Publisher :
- Sapienza Università Editrice, 2022.
-
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.
- Subjects :
- mhd equations
regularity criterion
a priori estimates
Mathematics
QA1-939
Subjects
Details
- Language :
- English, French, Italian
- ISSN :
- 11207183 and 25323350
- Volume :
- 43
- Issue :
- 3-4
- Database :
- Directory of Open Access Journals
- Journal :
- Rendiconti di Matematica e delle Sue Applicazioni
- Publication Type :
- Academic Journal
- Accession number :
- edsdoj.f9e2eaa281c74789a07377c303e35a4f
- Document Type :
- article