Locality of Vortex Stretching for the 3D Euler Equations

Shimizu, Yuuki; Yoneda, Tsuyoshi

doi:10.1007/s00021-023-00763-1

Search citation statements

Order By: Relevance

Paper Sections

Select...

Introduction1

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2024

Publication Types

Select...

Article1

Relationship

Self Cite1

Independent0

Authors

Journals

Cited by 1 publication

(1 citation statement)

References 14 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…From these previous results, we could conclude physically that the most important features of the Navier-Stokes turbulence could be scale local vortex stretching which does not seem to be random (see also [6][7][8] for the related mathematical results). Therefore as the sequence of these studies, our next study will be clarifying the locality of vortex stretching dynamics precisely, and in this paper we consider it with three-scale hierarchical structure (see for a geometric approach considering this locality, see Shimizu and Yoneda [15]).…”

Section: Introductionmentioning

confidence: 99%

Weakened vortex stretching effect in three scale hierarchy for the 3D Euler equations

Jeong,

Na,

Yoneda

2024

Nonlinearity

Self Cite

View full text Add to dashboard Cite

We consider the three-dimensional 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.

show abstract