Microscopic Expression of Anomalous Dissipation in Passive Scalar Transport

IF 1.2 3区数学 Q2 MATHEMATICS, APPLIED

Journal of Mathematical Fluid Mechanics 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

Journal of Mathematical Fluid Mechanics 物理-力学

CiteScore

2.00

自引率

15.40%

发文量

审稿时长

>12 weeks

期刊介绍： The Journal of Mathematical Fluid Mechanics (JMFM)is a forum for the publication of high-quality peer-reviewed papers on the mathematical theory of fluid mechanics, with special regards to the Navier-Stokes equations. As an important part of that, the journal encourages papers dealing with mathematical aspects of computational theory, as well as with applications in science and engineering. The journal also publishes in related areas of mathematics that have a direct bearing on the mathematical theory of fluid mechanics. All papers will be characterized by originality and mathematical rigor. For a paper to be accepted, it is not enough that it contains original results. In fact, results should be highly relevant to the mathematical theory of fluid mechanics, and meet a wide readership.