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arXiv · 2212.06395

Microscopic expression of anomalous dissipation in Passive scalar transport

Tomonori Tsuruhashi·Tsuyoshi Yoneda
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Abstract

We study anomalous dissipation from a microscopic viewpoint. In the work by Drivas, Elgindi, Iyer and Jeong (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 advection.

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Tomonori Tsuruhashi, Tsuyoshi Yoneda. 2022-12-13. Microscopic expression of anomalous dissipation in Passive scalar transport. https://arxiv.org/abs/2212.06395

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