On the regularity criteria for the 3D axisymmetric Hall-MHD system in Lorentz spaces

Li, Zhouyu; Zhou, Daoguo

doi:10.1016/j.nonrwa.2024.104067

Nonlinear Analysis: Real World Applications

2024

DOI: 10.1016/j.nonrwa.2024.104067

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On the regularity criteria for the 3D axisymmetric Hall-MHD system in Lorentz spaces

Zhouyu Li,

Daoguo Zhou

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2024

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Cited by 2 publications

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Existence and homogenization of trajectory statistical solutions for the 3D incompressible Hall-MHD equations

Yang,

Han,

Zhao

2024

DCDS-S

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Existence and homogenization of trajectory statistical solutions for the 3D incompressible Hall-MHD equations

Yang,

Han,

Zhao

2024

DCDS-S

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

Liu,

2024

MATH

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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 possible blow-up time $ T $ if the horizontal angular component of the velocity belongs to anisotropic Lorentz spaces.

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On the regularity criteria for the 3D axisymmetric Hall-MHD system in Lorentz spaces

Cited by 2 publications

References 20 publications

Existence and homogenization of trajectory statistical solutions for the 3D incompressible Hall-MHD equations

Existence and homogenization of trajectory statistical solutions for the 3D incompressible Hall-MHD equations

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

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