无源标量的反常耗散。

Philosophical transactions. Series A, Mathematical, physical, and engineering sciences Pub Date : 2022-03-07 Epub Date: 2022-01-17 DOI:10.1098/rsta.2021.0099

A L Mazzucato

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引用次数: 1

摘要

研究不可压缩流平流中被动标量的反常耗散问题。我们从偏微分方程分析的角度回顾了已知的关于反常耗散的结果，并给出了允许batcheler型能谱和在零标量扩散极限下表现出反常耗散的标量的简单严谨的例子。这篇文章是主题“攀登湍流大厦(第一部分)”的一部分。

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Remarks on anomalous dissipation for passive scalars.

We consider the problem of anomalous dissipation for passive scalars advected by an incompressible flow. We review known results on anomalous dissipation from the point of view of the analysis of partial differential equations, and present simple rigorous examples of scalars that admit a Batchelor-type energy spectrum and exhibit anomalous dissipation in the limit of zero scalar diffusivity. This article is part of the theme issue 'Scaling the turbulence edifice (part 1)'.

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Philosophical transactions. Series A, Mathematical, physical, and engineering sciences

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