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.
Журнал: Lobachevskii Journal of Mathematics
Выпуск журнала: Vol. 38, Is. 3
Номера страниц: 560-570
ISSN журнала: 19950802
Издатель: Maik Nauka-Interperiodica Publishing