Two-Flow Instability of One Class of Spherically Symmetric Dynamic Equilibrium States of Vlasov-Poisson Plasma Full article
| Journal |
Acta Applicandae Mathematicae
ISSN: 0167-8019 |
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| Output data | Year: 2023, Volume: 187, Number: 1, Article number : 2, Pages count : 14 DOI: 10.1007/s10440-023-00595-1 | ||||
| Tags | Vlasov-Poisson plasma · Dynamic equilibrium states · Direct Lyapunov method · Instability | ||||
| Authors |
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| Affiliations |
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Funding (2)
| 1 | Министерство науки и высшего образования Российской Федерации | FWGG-2021-0008 |
| 2 | Министерство науки и высшего образования Российской Федерации | FWGG-2021-0004 |
Abstract:
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.
Cite:
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
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
Dates:
| Submitted: | Jul 5, 2023 |
| Accepted: | Aug 8, 2023 |
| Published online: | Aug 24, 2023 |
Identifiers:
| Web of science: | WOS:001054505400002 |
| Scopus: | 2-s2.0-85168695506 |
| Elibrary: | 54595732 |
| OpenAlex: | W4386186075 |