Low regularity global well-posedness of axisymmetric MHD equations with vertical dissipation and magnetic diffusion

Consideration in this paper is the global well-posedness for the 3D axisymmetric MHD equations with only vertical dissipation and vertical magnetic diffusion. The existence of unique low-regularity global solutions of the system with initial data in Lorentz spaces is established by using higher-orde...

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Bibliographic Details
Published inarXiv.org
Main Authors Abidi, Hammadi, Gui, Guilong, Ke, Xueli
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 10.10.2023
Subjects
Dissipation
Interpolation
Magnetic diffusion
Mathematical analysis
Regularity
Well posed problems
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Summary:Consideration in this paper is the global well-posedness for the 3D axisymmetric MHD equations with only vertical dissipation and vertical magnetic diffusion. The existence of unique low-regularity global solutions of the system with initial data in Lorentz spaces is established by using higher-order energy estimates and real interpolation method.
ISSN:2331-8422