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

A. A. Gavrilieva, Yu G. Gubarev, M. P. Lebedev

Результат исследования: Научные публикации в периодических изданияхстатья

1 Цитирования (Scopus)

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 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.

Язык оригиналаанглийский
Страницы (с-по)560-570
Число страниц11
ЖурналLobachevskii Journal of Mathematics
Том38
Номер выпуска3
DOI
СостояниеОпубликовано - 1 мая 2017

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