On stability of radial collapse of cylindrical shell filled with viscous incompressible fluid Научная публикация
Журнал |
Journal of Physics: Conference Series
ISSN: 1742-6588 |
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Вых. Данные | Год: 2019, Том: 1268, Номер: 1, Номер статьи : 012072, Страниц : 7 DOI: 10.1088/1742-6596/1268/1/012072 | ||||
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Организации |
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Реферат:
We study nonlinear stability of radial collapse of a cylindrical shell filled with a viscous incompressible fluid homogeneous in density. We have made the following assumptions: 1) there is a vacuum inside the shell, 2) there is the layer of compressed polytropic gas outside the shell, the gas serves as a product of instant detonation and causes
nonzero constant pressure on the outer surface of the shell, 3) there is a vacuum beyond the layer of gas. By the direct Lyapunov method, we state the absolute stability of radial collapse of the viscous cylindrical shell relative to finite disturbances of the same type of symmetry. Namely, we construct a Lyapunov function satisfying all conditions of the Lyapunov first theorem (stability theorem) regardless of radial collapse mode. Thus, we confirm the Trishin
hypothesis and prove that cumulation of the fluid kinetic energy during the radial collapse of the cylindrical shell near its geometric axis never originates.
Библиографическая ссылка:
Fursova D.A.
, Gubarev Y.G.
On stability of radial collapse of cylindrical shell filled with viscous incompressible fluid
Journal of Physics: Conference Series. 2019. V.1268. N1. 012072 :1-7. DOI: 10.1088/1742-6596/1268/1/012072 Scopus РИНЦ OpenAlex
On stability of radial collapse of cylindrical shell filled with viscous incompressible fluid
Journal of Physics: Conference Series. 2019. V.1268. N1. 012072 :1-7. DOI: 10.1088/1742-6596/1268/1/012072 Scopus РИНЦ OpenAlex
Идентификаторы БД:
Scopus: | 2-s2.0-85073897624 |
РИНЦ: | 41809121 |
OpenAlex: | W2958691014 |