Weakened vortex stretching effect in three scale hierarchy for the 3D Euler equations
Analysis of PDEs
2023-09-14 v1
Abstract
We consider the 3D incompressible Euler equations under the following three scale hierarchical situation: large-scale vortex stretching the middle-scale, and at the same time, the middle-scale stretching the small-scale. In this situation, we show that, the stretching effect of this middle-scale flow is weakened by the large-scale. In other words, the vortices being stretched could have the corresponding stress tensor being weakened.
Cite
@article{arxiv.2309.06644,
title = {Weakened vortex stretching effect in three scale hierarchy for the 3D Euler equations},
author = {In-Jee Jeong and Jungkyoung Na and Tsuyoshi Yoneda},
journal= {arXiv preprint arXiv:2309.06644},
year = {2023}
}
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17 pages