Low regularity global well-posedness of axisymmetric MHD equations with vertical dissipation and magnetic diffusion
Analysis of PDEs
2023-10-11 v1
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.
Keywords
Cite
@article{arxiv.2310.06432,
title = {Low regularity global well-posedness of axisymmetric MHD equations with vertical dissipation and magnetic diffusion},
author = {Hammadi Abidi and Guilong Gui and Xueli Ke},
journal= {arXiv preprint arXiv:2310.06432},
year = {2023}
}
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21 pages