On the Spectrum of the Orr–Sommerfeld Equation on the Semiaxis

On the Spectrum of the Orr–Sommerfeld Equation on the Semiaxis
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奥尔-索末菲方程半轴谱

DOI:
10.1002/1522-2616(200008)216:1
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发表时间:
1998
影响因子:
1
通讯作者:
M. Plum
M. Plum
中科院分区:
数学3区
文献类型:
--
作者:
Jan;M. Plum

文献摘要

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Orr-Sommerfeld方程是一个谱问题,它在流体动力稳定性中起着重要作用。对于方程的一个适当的算子理论实现,我们将确定本质谱,并通过初等分析方法计算所有本征值的集合的外壳。
The Orr-Sommerfeld equation is a spectral problem which is known to play an important role in hydrodynamic stability. For an appropriate operator theoretical realization of the equation, we will determine the essential spectrum, and calculate an enclosure of the set of all eigenvalues by elementary analytical means.