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Two-Flow Instability of One Class of Spherically Symmetric Dynamic Equilibrium States of Vlasov-Poisson Plasma Научная публикация

Журнал Acta Applicandae Mathematicae
ISSN: 0167-8019
Вых. Данные Год: 2023, Том: 187, Номер: 1, Номер статьи : 2, Страниц : 14 DOI: 10.1007/s10440-023-00595-1
Ключевые слова Vlasov-Poisson plasma · Dynamic equilibrium states · Direct Lyapunov method · Instability
Авторы Bibilova S.A. 1 , Gubarev Y.G. 1,2
Организации
1 Department for Differential Equations, Novosibirsk National Research State University, Novosibirsk 630090, Russian Federation
2 Laboratory for Explosion Physics, 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 problem on linear stability of particular class of spherically symmetric states of dynamic equilibrium of the Vlasov-Poisson plasma, which contains electrons and a single species of ions, is considered. An absolute instability of these equilibrium states with respect to small spherically symmetric perturbations is proved by the direct Lyapunov method in the case when stationary distribution functions of electrons and ions are isotropic over the physical continuum, but variable in the velocity space. The a priori exponential lower estimate, which indicates the growth over time for the studied small perturbations, is derived. The constructive sufficient conditions for linear practical instability are identified. The illustrative analytical examples for the considered states of dynamic equilibrium and their small perturbations, which grow in time according to the obtained estimate, are constructed.
Библиографическая ссылка: Bibilova S.A. , Gubarev Y.G.
Two-Flow Instability of One Class of Spherically Symmetric Dynamic Equilibrium States of Vlasov-Poisson Plasma
Acta Applicandae Mathematicae. 2023. V.187. N1. 2 :1-14. DOI: 10.1007/s10440-023-00595-1 WOS Scopus РИНЦ OpenAlex
Даты:
Поступила в редакцию: 5 июл. 2023 г.
Принята к публикации: 8 авг. 2023 г.
Опубликована online: 24 авг. 2023 г.
Идентификаторы БД:
Web of science: WOS:001054505400002
Scopus: 2-s2.0-85168695506
РИНЦ: 54595732
OpenAlex: W4386186075
Цитирование в БД:
БД Цитирований
OpenAlex 1
РИНЦ 1
Scopus 1
Web of science 1
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