A geometric instability of the laminar axisymmetric Euler flows with oscillating flux
Analysis of PDEs
2016-06-21 v1
Abstract
The dynamics along the particle trajectories for the 3D axisymmetric Euler equations in an infinite cylinder are considered. It is shown that if the inflow-outflow is highly oscillating in time, the corresponding Euler flow cannot keep the uniformly smooth laminar profile provided that the swirling component is not zero. In the proof, Frenet-Serret formulas and orthonormal moving frame are essentially used.
Cite
@article{arxiv.1606.05744,
title = {A geometric instability of the laminar axisymmetric Euler flows with oscillating flux},
author = {Tsuyoshi Yoneda},
journal= {arXiv preprint arXiv:1606.05744},
year = {2016}
}