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

被引：0

作者：

Abidi, Hammadi ^{[1
]}

Gui, Guilong ^{[2
]}

Ke, Xueli ^{[2
,3
]}

机构：

[1] Univ Tunis EI Manar, Fac Sci Tunis, Dept Math, Tunis 2092, Tunisia

[2] Xiangtan Univ, Sch Math & Computat Sci, Xiangtan 411105, Peoples R China

[3] Henan Polytech Univ, Sch Math & Informat Sci, Jiaozuo 454000, Peoples R China

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2024年 / 409卷

基金：

中国国家自然科学基金;

关键词：

Axisymmetric MHD equations; Global well-posedness; Lorentz spaces; AXIALLY-SYMMETRIC FLOWS; NAVIER-STOKES EQUATIONS; INCOMPRESSIBLE MAGNETOHYDRODYNAMICS; SYSTEM; FLUIDS;

D O I：

10.1016/j.jde.2024.08.016

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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. (c) 2024 Elsevier Inc. All rights are reserved, including those for text and data mining, AI training, and similar technologies.

引用

页码：635 / 663

页数：29

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