Global existence and large time behavior of the quantum Boltzmann equation with small relative entropy

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2022-01-01 DOI:10.3934/krm.2022025

Yong Wang, C. Xiao, Yinghui Zhang

引用次数: 0

Abstract

In this paper, we study the global well-posedness of the non-relativistic quantum Boltzmann equation with initial data of small relative entropy. For a class of initial data which are allowed to have arbitrary bounded amplitude and even contain vacuum, we establish the global existence and uniqueness of the mild solutions to the quantum Boltzmann equation in the torus \begin{document}$ x\in\mathbb T^3 $\end{document}. The exponential time decay rate is also obtained in the \begin{document}$ L^{\infty}_{x, v} $\end{document}-norm.

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小相对熵量子玻尔兹曼方程的全局存在性和大时间行为

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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.