Microscopic expression of anomalous dissipation in Passive scalar transport
Analysis of PDEs
2022-12-14 v1
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.
Keywords
Cite
@article{arxiv.2212.06395,
title = {Microscopic expression of anomalous dissipation in Passive scalar transport},
author = {Tomonori Tsuruhashi and Tsuyoshi Yoneda},
journal= {arXiv preprint arXiv:2212.06395},
year = {2022}
}