A necessary and sufficient instability condition for inviscid shear flow

被引：18

作者：

Balmforth, NJ ^{[1
]}

Morrison, PJ ^{[1
]}

机构：

[1] Univ Texas, Dept Phys, Austin, TX 78712 USA

来源：

STUDIES IN APPLIED MATHEMATICS | 1999年 / 102卷 / 03期

关键词：

D O I：

10.1111/1467-9590.00113

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We derive a condition that is necessary and sufficient for the instability of inviscid, two-dimensional, plane-parallel, shear flow with equilibrium velocity profiles that are monotonic, real analytic, functions of the cross-stream coordinate. The analysis, which is based upon the Nyquist method, includes a means for delineating the possible kinds of bifurcations that involve the presence of the continuous spectrum, including those that occur at nonzero wave number. Several examples are given.

引用

页码：309 / 344

页数：36

共 23 条

[1]

[Anonymous], ZAPISKI NAUCH SEMIN

[2] Dynamics of vorticity defects in shear [J].