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

IF 1.3 4区数学 Q2 MATHEMATICS, APPLIED

Acta Applicandae Mathematicae Pub Date : 2025-11-05 DOI:10.1007/s10440-025-00753-7

Fan Zhang

引用次数: 0

Abstract

The purpose of this paper is to study the incompressible MHD equations with vertical magnetic diffusion in \(\mathbb{R}^{3}\). 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.

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具有垂直磁扩散和非零旋流的轴对称MHD方程的全局适定性

本文研究了\(\mathbb{R}^{3}\)中具有垂直磁扩散的不可压缩MHD方程。在初始数据轴对称且初始速度的旋流分量足够小的条件下，建立了系统的全局适定性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Acta Applicandae Mathematicae 数学-应用数学

CiteScore

2.80

自引率

6.20%

发文量

审稿时长

16.2 months

期刊介绍： Acta Applicandae Mathematicae is devoted to the art and techniques of applying mathematics and the development of new, applicable mathematical methods. Covering a large spectrum from modeling to qualitative analysis and computational methods, Acta Applicandae Mathematicae contains papers on different aspects of the relationship between theory and applications, ranging from descriptive papers on actual applications meeting contemporary mathematical standards to proofs of new and deep theorems in applied mathematics.