Microscopic Expression of Anomalous Dissipation in Passive Scalar Transport

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2023-12-11 DOI:10.1007/s00021-023-00834-3

Tomonori Tsuruhashi, Tsuyoshi Yoneda

引用次数: 0

Abstract

We study anomalous dissipation from a microscopic viewpoint. In the work by Drivas et al. (Arch Ration Mech Anal 243(3):1151–1180, 2022), the property of anomalous dissipation provides the existence of non-unique weak solutions for a transport equation with a singular velocity field. In this paper, we reconsider this solution in terms of kinetic theory and clarify its microscopic property. Consequently, energy loss can be expressed by non-vanishing microscopic obstruction.

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被动标量传输中反常耗散的微观表达

我们从微观角度研究反常耗散。在 Drivas 等人的著作（Arch Ration Mech Anal 243(3):1151-1180, 2022）中，反常耗散特性为具有奇异速度场的输运方程提供了非唯一的弱解。在本文中，我们从动力学理论的角度重新考虑了这一解，并阐明了其微观性质。因此，能量损失可以用非消失的微观阻碍来表示。

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.