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Andreev, V. K.
2020-01-20T07:56:53Z
2020-01-20T07:56:53Z
2019
Andreev, V. K. Stability of Nonlinear Oscillations of a Spherical Layer of an Ideal Fluid [Текст] / V. K. Andreev // Journal of Applied Mechanics and Technical Physics. — 2019. — С. 303-313
00218944
https://link.springer.com/content/pdf/10.1134%2FS0021894419020111.pdf
https://elib.sfu-kras.ru/handle/2311/129295
The nonstationary motion of a spherical layer of an ideal fluid is investigated taking into account the adiabatic distribution of gas pressure in the internal cavity. The existence of nonlinear oscillations of the layer is established, and their period is determined. It is shown that there is only one equilibrium state of the layer. Amplitude equations taking into account the action of capillary forces on the surfaces of the layer in a linear approximation are obtained and used to study the stability of nonlinear oscillations of the layer. The limiting cases of a spherical bubble and soap film are considered.
ideal fluid
interface
nonlinear oscillations
small perturbations
stability
Stability of Nonlinear Oscillations of a Spherical Layer of an Ideal Fluid
Journal Article
Journal Article Preprint
303-313
27.35.46
2020-01-20T07:56:53Z
10.1134/S0021894419020111
Институт математики и фундаментальной информатики
Базовая кафедра математического моделирования и процессов управления
Journal of Applied Mechanics and Technical Physics
Q3
Q4


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