在 $\mathbb{R}^3$ 中具有无限质量和速度的引力弗拉索夫-泊松系统

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-07-15 DOI:10.4310/cms.2024.v22.n5.a11

Guido Cavallaro, Carlo Marchioro

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引用次数: 0

摘要

我们研究在 $\mathbb{R}^3$ 中演化的引力弗拉索夫-泊松系统解的存在性和唯一性。假设粒子最初是按照空间密度分布的，空间密度具有幂律衰减，允许质量无约束，速度的指数衰减由麦克斯韦-玻尔兹曼定律给出。我们扩展了一个经典结果，该结果适用于总质量有限的系统。

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The gravitational Vlasov-Poisson system with infinite mass and velocities in $\mathbb{R}^3$

We study existence and uniqueness of the solution to the gravitational Vlasov–Poisson system evolving in $\mathbb{R}^3$. It is assumed that initially the particles are distributed according to a spatial density with a power-law decay in space, allowing for unbounded mass, and an exponential decay in velocities given by a Maxwell–Boltzmann law. We extend a classical result which holds for systems with finite total mass.

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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.