论冷等离子体方程仿射解的特性

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2023-12-07 DOI:10.4310/cms.2024.v22.n1.a9

Olga S. Rozanova, Marko K. Turzynsky

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引用次数: 2

摘要

我们研究了冷等离子体平面振荡方程的仿射解，在静电假设下，这些方程对应于排斥情况下的欧拉-泊松方程。研究证明，冷等离子体方程的零平衡态在所有仿射解类中都是不稳定的，无论是有静电假设还是没有静电假设。研究还表明，对轴对称静电解的任意扰动都会导致有限时间爆炸。

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On the properties of affine solutions of cold plasma equations

We study the affine solutions of the equations of plane oscillations of cold plasma, which, under the assumption of electrostaticity, correspond to the Euler–Poisson equations in the repulsive case. It is proved that the zero equilibrium state of the cold plasma equations, both with and without the assumption of electrostaticity, is unstable in the class of all affine solutions. It is also shown that an arbitrary perturbation of an axially symmetric electrostatic solution leads to a finite time blow-up.

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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.