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arXiv · 2310.06432

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

Hammadi Abidi·Guilong Gui·Xueli Ke
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Abstract

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.

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Hammadi Abidi, Guilong Gui, Xueli Ke. 2023-10-10. Low regularity global well-posedness of axisymmetric MHD equations with vertical dissipation and magnetic diffusion. https://arxiv.org/abs/2310.06432

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