Global continuation of a Vlasov model of rotating galaxies

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2022-03-02 DOI:10.3934/krm.2023001

W. Strauss, Yilun Wu

引用次数: 2

Abstract

A typical galaxy consists of a huge number of stars attracted to each other by gravity. For instance, the Milky Way has about $10^{11}$ stars. Thus it is typically modeled by the Vlasov-Poisson system. We prove an existence theorem for axisymmetric steady states of galaxies that may rotate rapidly. Such states are given in terms of a fairly general function $\phi$ of the particle energy and angular momentum. The set $\mathcal K$ of such states form a connected set in an appropriate function space. Along the set $\mathcal K$, we prove under some conditions that either (a) the supports of the galaxies become unbounded or (b) both the rotation speeds and the densities somewhere within the galaxy become unbounded.

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旋转星系Vlasov模型的全局延拓

一个典型的星系是由大量的恒星在引力作用下相互吸引而组成的。例如，银河系大约有10^{11}$颗恒星。因此，它的典型模型是弗拉索夫-泊松系统。我们证明了可以快速旋转的星系轴对称稳态的存在性定理。这样的状态是用一个关于粒子能量和角动量的一般函数给出的。这些状态的集合$\数学K$在适当的函数空间中形成连通集。沿着数学K集，我们证明了在某些条件下(a)星系的支撑变得无界，或(b)星系内某处的旋转速度和密度都变得无界。

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.