Instability in Parallel Flows Revisited

Instability in Parallel Flows Revisited
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DOI:
10.1111/1467-9590.00083
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发表时间:
1998-07
影响因子:
2.7
通讯作者:
S. Friedlander;L. Howard
S. Friedlander;L. Howard
中科院分区:
数学3区
文献类型:
--
作者:
S. Friedlander;L. Howard

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给出了具有经典边界条件的不稳定平面平行剪切流的算例。对于具有U(Y)=cos My的剪切流,用连分式技术得到了完全不稳定谱,对于这种流,谱不稳定意味着非线性不稳定。讨论了三维泛化问题。
An example of an unstable inviscid plane parallel shear flow with classical boundary conditions is presented. The complete unstable spectrum is exhibited using techniques of continued fractions for the shear flow with profile U(y)=cos m y. For such flows spectral instability implies nonlinear instability. A three‐dimensional generalization is discussed.