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

Autor: Abidi, Hammadi, Gui, Guilong, Ke, Xueli

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

Externí odkaz: http://arxiv.org/abs/2310.06432

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Akademický článek

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

Autor: Abidi, Hammadi, Gui, Guilong, Ke, Xueli

Publikováno v: In Journal of Differential Equations 15 November 2024 409:635-663

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Akademický článek

Global well-posedness for the inhomogeneous incompressible MHD equations with variable viscosity coefficient and electrical conductivity

Autor: Ke, Xueli

Publikováno v: In Journal of Mathematical Analysis and Applications 15 October 2024 538(2)

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Global existence of strong solutions to the multi-dimensional inhomogeneous incompressible MHD equations

Autor: Yuan, Baoquan, Ke, Xueli

This paper is concerned with the Cauchy problem of the multi-dimensional incompressible magnetohydrodynamic equations with inhomogeneous density and fractional dissipation. It is shown that when $\alpha+\beta=1+\frac{n}{2}$ satisfying $1\leq \beta\le

Externí odkaz: http://arxiv.org/abs/2107.03654

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