The miles theorem and new particular solutions to the Taylor–Goldstein equation
- 作者: Gavrilieva A.1, Gubarev Y.2,3, Lebedev M.1,4
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隶属关系:
- Larionov Institute of Physical and Technical Problems of the North
- Lavrentyev Institute of Hydrodynamics
- Novosibirsk National Research State University
- Ammosov North-Eastern Federal University
- 期: 卷 38, 编号 3 (2017)
- 页面: 560-570
- 栏目: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/199476
- DOI: https://doi.org/10.1134/S1995080217030039
- ID: 199476
如何引用文章
详细
The direct Lyapunov method is used to prove the absolute linear instability of steadystate plane-parallel shear flows of an inviscid stratified incompressible fluid in the gravity field with respect to plane perturbations both in the Boussinesq and non-Boussinesq approximations. A strict description is given for the applicability of the known necessary condition for linear instability of steady-state plane-parallel shear flows of an ideal nonuniform (by density) incompressible fluid in the gravity field both in the Boussinesq and non-Boussinesq approximations (the Miles theorem). Analytical examples of illustrative character are constructed.
作者简介
A. Gavrilieva
Larionov Institute of Physical and Technical Problems of the North
编辑信件的主要联系方式.
Email: gav-ann@yandex.ru
俄罗斯联邦, Yakutsk, 677891
Yu. Gubarev
Lavrentyev Institute of Hydrodynamics; Novosibirsk National Research State University
Email: gav-ann@yandex.ru
俄罗斯联邦, Novosibirsk, 630090; Novosibirsk, 630090
M. Lebedev
Larionov Institute of Physical and Technical Problems of the North; Ammosov North-Eastern Federal University
Email: gav-ann@yandex.ru
俄罗斯联邦, Yakutsk, 677891; Yakutsk, 677000
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