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<p>The purpose of this paper is to study the incompressible MHD equations with vertical magnetic diffusion in <InlineEquation ID="IEq1"> <EquationSource Format="MATHML"><math> <msup> <mi mathvariant="double-struck">R</mi> <mn>3</mn> </msup> </math></EquationSource> <EquationSource Format="TEX">$\mathbb{R}^{3}$</EquationSource> </InlineEquation>. We establish the global well-posedness of the system if the initial data are axially symmetric and the swirl component of the initial velocity is sufficiently small.</p>

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Global Well-Posedness of Axisymmetric MHD Equations with Vertical Magnetic Diffusion and Nonzero Swirl

  • 期刊论文

  • 发表日期：

    2025年11月5日

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  • Fan Zhang

摘要

The purpose of this paper is to study the incompressible MHD equations with vertical magnetic diffusion in R 3 $\mathbb{R}^{3}$ . We establish the global well-posedness of the system if the initial data are axially symmetric and the swirl component of the initial velocity is sufficiently small.