Secondary instabilities of flows with elliptic streamlines

被引：14

作者：

Fabijonas, B

Holm, DD

Lifschitz, A

机构：

[1] LOS ALAMOS NATL LAB,DIV THEORET,LOS ALAMOS,NM 87545

[2] LOS ALAMOS NATL LAB,CTR NONLINEAR STUDIES,LOS ALAMOS,NM 87545

来源：

PHYSICAL REVIEW LETTERS | 1997年 / 78卷 / 10期

关键词：

D O I：

10.1103/PhysRevLett.78.1900

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We examine the stability of flows which are the sum of a linear flow with elliptic streamlines and a transverse standing wave. Such flows are exact solutions of the 3D Euler equations for an inviscid incompressible fluid. We examine the stability of such flows under local 3D high frequency perturbations, which can be viewed as secondary perturbations of the elliptic flow itself. We find that these flows are unstable to such perturbations and compute growth rate in several cases.

引用

页码：1900 / 1903

页数：4

共 19 条

[1]

[Anonymous], 1993, CHAOS DYNAMICAL SYST

[2] 3-DIMENSIONAL INSTABILITY OF ELLIPTIC FLOW [J].