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...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Sapienza Università Editrice
2022-04-01
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| Series: | Rendiconti di Matematica e delle Sue Applicazioni |
| Subjects: | |
| Online Access: | https://www1.mat.uniroma1.it/ricerca/rendiconti/ARCHIVIO/2022(3)/165-171.pdf |
| Summary: | 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. |
|---|---|
| ISSN: | 1120-7183 2532-3350 |