On instability of steady-state three-dimensional flows of an ideal compressible fluid

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Abstract

The problem on linear stability of stationary spatial flows of an inviscid compressible fluid entirely occupying a certain volume with quiescent solid impenetrable boundary in absence of external mass forces is studied. Applying the direct Lyapunov method, such flows are proved to be absolutely unstable under small three-dimensional (3D) perturbations. Constructive conditions for linear practical instability are obtained. The a priori exponential lower estimate for the growth of the considered perturbations in time is found.

Original languageEnglish
Title of host publication19th International Conference on the Methods of Aerophysical Research, ICMAR 2018
Editors Fomin
PublisherAmerican Institute of Physics Inc.
Number of pages12
Volume2027
ISBN (Electronic)9780735417472
DOIs
Publication statusPublished - 2 Nov 2018
Event19th International Conference on the Methods of Aerophysical Research, ICMAR 2018 - Akademgorodok, Novosibirsk, Russian Federation
Duration: 13 Aug 201819 Aug 2018

Publication series

NameAIP Conference Proceedings
PublisherAMER INST PHYSICS
Volume2027
ISSN (Print)0094-243X

Conference

Conference19th International Conference on the Methods of Aerophysical Research, ICMAR 2018
Country/TerritoryRussian Federation
CityAkademgorodok, Novosibirsk
Period13.08.201819.08.2018

Keywords

  • STABILITY

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