由粒子热浴驱动的非弹性玻尔兹曼方程

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2021-06-17 DOI:10.3934/krm.2021018

Rafael Sanabria

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引用次数: 0

摘要

研究了具有固定e\in(0,1] $和固定麦克斯韦分布的主介质引起的热化作用下具有恒定恢复系数$ \ α \in(0,1) $的非弹性硬球的空间非齐次玻尔兹曼方程。当恢复系数$ \alpha $接近于1时，我们证明了考虑接近平衡状态的全局解的存在唯一性。我们还研究了这些解的长时性，并证明了它们以指数速率收敛到平衡态。

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Inelastic Boltzmann equation driven by a particle thermal bath

We consider the spatially inhomogeneous Boltzmann equation for inelastic hard-spheres, with constant restitution coefficient $ \alpha\in(0,1) $, under the thermalization induced by a host medium with fixed $ e\in(0,1] $ and a fixed Maxwellian distribution. When the restitution coefficient $ \alpha $ is close to 1 we prove existence and uniqueness of global solutions considering the close-to-equilibrium regime. We also study the long-time behaviour of these solutions and prove a convergence to equilibrium with an exponential rate.

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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.