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On instability of three-dimensional dynamic equilibrium states of self-gravitating Vlasov-Poisson gas Научная публикация

Журнал Journal of Physics: Conference Series
ISSN: 1742-6588
Вых. Данные Год: 2021, Том: 1730, Номер: 1, Номер статьи : 012069, Страниц : 4 DOI: 10.1088/1742-6596/1730/1/012069
Авторы Gubarev Yu G 1,2 , Sun S 1
Организации
1 Department for Differential Equations, Novosibirsk State University, Novosibirsk, 630090, Russian Federation
2 Laboratory for Fluid and Gas Vortex Motions, Lavrentyev Institute for Hydrodynamics, Novosibirsk, 630090, Russian Federation

Информация о финансировании (2)

1 Министерство науки и высшего образования Российской Федерации FWGG-2021-0008
2 Министерство науки и высшего образования Российской Федерации FWGG-2021-0004

Реферат: The Vlasov-Poisson kinetic equations describe the dynamics of point masses in a self-consistent gravitational field. For example, these equations describe clusters of stars, galaxies or interstellar gas, large-scale processes in the Universe. For stationary solutions to the Vlasov-Poisson kinetic equations, a sufficient stability condition has already been obtained previously. However, it has not been conversed until now (neither for small perturbations, nor, especially, for finite ones). The Vlasov-Poisson kinetic equations are related to equations of hydrodynamic type, for which, in turn, there are methods for conversing sufficient stability conditions (at least, in the linear approximation). In this paper, absolute instability for spatial dynamic equilibrium states of Vlasov-Poisson gas with respect to small three-dimensional (3D) perturbations will be proved by the direct Lyapunov method.
Библиографическая ссылка: Gubarev Y.G. , Sun S.
On instability of three-dimensional dynamic equilibrium states of self-gravitating Vlasov-Poisson gas
Journal of Physics: Conference Series. 2021. V.1730. N1. 012069 :1-4. DOI: 10.1088/1742-6596/1730/1/012069 Scopus РИНЦ OpenAlex
Идентификаторы БД:
Scopus: 2-s2.0-85101536301
РИНЦ: 46753305
OpenAlex: W3127342940
Цитирование в БД:
БД Цитирований
Scopus 2
OpenAlex 2
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