单原子气体混合物波尔兹曼方程的能量法

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.a6

Laurent Boudin, Bérénice Grec, Milana Pavić-Čolić, Srboljub Simić

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引用次数: 3

摘要

在本文中，我们提出了一种基于微观-宏观分解的多组分混合物情况下波尔兹曼方程系统的能量方法。更确切地说，玻尔兹曼方程解在全局平衡点附近的扰动被分解为宏观部分和微观部分之和，对此我们获得了低阶和高阶的先验估计值。这些估计值是在一个合适的微小性假设下获得的。在高阶情况下，该假设可以后验，从而得到相应的闭合估计值。

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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Energy method for the Boltzmann equation of monatomic gaseous mixtures

In this paper, we present an energy method for the system of Boltzmann equations in the multicomponent mixture case, based on a micro-macro decomposition. More precisely, the perturbation of a solution to the Boltzmann equation around a global equilibrium is decomposed into the sum of a macroscopic and a microscopic part, for which we obtain a priori estimates at both lower and higher orders. These estimates are obtained under a suitable smallness assumption. The assumption can be justified a posteriori in the higher-order case, leading to the closure of the corresponding estimate.

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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.