Formation of Finite Time Singularity for Axially Symmetric Magnetohydrodynamic Waves in 3-D

IF 1.2 3区数学 Q2 MATHEMATICS, APPLIED

Journal of Mathematical Fluid Mechanics Pub Date : 2024-07-20 DOI:10.1007/s00021-024-00889-w

Lv Cai, Ning-An Lai

引用次数: 0

Abstract

In this paper we study the compressible magnetohydrodynamics equations in three dimensions, which offer a good model for plasmas. Formation of singularity for \(C^1\)-solution in finite time is proved with axisymmetric initial data. The key observation is that the magnetic force term admits a good structure with axisymmetric assumption.

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轴对称磁流体动力波三维有限时间奇点的形成

本文研究了三维可压缩磁流体动力学方程，它为等离子体提供了一个很好的模型。通过轴对称初始数据证明了有限时间内 \(C^1\)-solution 的奇点形成。关键的观察结果是磁力项在轴对称假设下具有良好的结构。

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

Journal of Mathematical Fluid Mechanics 物理-力学

CiteScore

2.00

自引率

15.40%

发文量

审稿时长

>12 weeks

期刊介绍： The Journal of Mathematical Fluid Mechanics (JMFM)is a forum for the publication of high-quality peer-reviewed papers on the mathematical theory of fluid mechanics, with special regards to the Navier-Stokes equations. As an important part of that, the journal encourages papers dealing with mathematical aspects of computational theory, as well as with applications in science and engineering. The journal also publishes in related areas of mathematics that have a direct bearing on the mathematical theory of fluid mechanics. All papers will be characterized by originality and mathematical rigor. For a paper to be accepted, it is not enough that it contains original results. In fact, results should be highly relevant to the mathematical theory of fluid mechanics, and meet a wide readership.