The miles theorem and new particular solutions to the Taylor–Goldstein equation : научное издание

Описание

Тип публикации: статья из журнала

Год издания: 2017

Идентификатор DOI: 10.1134/S1995080217030039

Ключевые слова: a priori estimate, analytical solutions, Bessel functions, Boussinesq approximation, direct Lyapunov method, ideal stratified fluid, instability, Miles theorem, plane perturbations, stability, steady-state flows, Whittaker functions

Аннотация: 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 oПоказать полностьюf 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. © 2017, Pleiades Publishing, Ltd.

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Издание

Журнал: Lobachevskii Journal of Mathematics

Выпуск журнала: Vol. 38, Is. 3

Номера страниц: 560-570

ISSN журнала: 19950802

Издатель: Maik Nauka-Interperiodica Publishing

Персоны

  • Gavrilieva A.A. (Larionov Institute of Physical and Technical Problems of the North, Siberian Branch, Russian Academy of Sciences, Yakutsk, Russian Federation)
  • Gubarev Y.G. (Lavrentyev Institute of Hydrodynamics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, Russian Federation, Novosibirsk National Research State University, Novosibirsk, Russian Federation)
  • Lebedev M.P. (Larionov Institute of Physical and Technical Problems of the North, Siberian Branch, Russian Academy of Sciences, Yakutsk, Russian Federation, Ammosov North-Eastern Federal University, Yakutsk, Russian Federation)

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