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

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research 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

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.