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
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
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页码:309 / 344
页数:36
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