Global weighted regularity for the 3D axisymmetric non-resistive MHD system

We consider the regularity criteria of axisymmetric solutions to the non-resistive MHD system with non-zero swirl in $ \mathbb{R}^{3} $. By applying a new anisotropic Hardy-Sobolev inequality in mixed Lorentz spaces, we show that strong solutions to this system can be smoothly extended beyond the po...

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Bibliographic Details
Main Authors: Wenjuan Liu, Zhouyu Li
Format: Article
Language:English
Published: AIMS Press 2024-06-01
Series:AIMS Mathematics
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/math.20241017?viewType=HTML