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Two-Flow Instability of One Class of Spherically Symmetric Dynamic Equilibrium States of Vlasov-Poisson Plasma. / Bibilova, S. A.; Gubarev, Y. G.

In: Acta Applicandae Mathematicae, Vol. 187, No. 1, 2, 10.2023.

Research output: Contribution to journal › Article › peer-review

Harvard

Bibilova, SA & Gubarev, YG 2023, 'Two-Flow Instability of One Class of Spherically Symmetric Dynamic Equilibrium States of Vlasov-Poisson Plasma', Acta Applicandae Mathematicae, vol. 187, no. 1, 2. https://doi.org/10.1007/s10440-023-00595-1

APA

Bibilova, S. A., & Gubarev, Y. G. (2023). Two-Flow Instability of One Class of Spherically Symmetric Dynamic Equilibrium States of Vlasov-Poisson Plasma. Acta Applicandae Mathematicae, 187(1), [2]. https://doi.org/10.1007/s10440-023-00595-1

Vancouver

Bibilova SA, Gubarev YG. Two-Flow Instability of One Class of Spherically Symmetric Dynamic Equilibrium States of Vlasov-Poisson Plasma. Acta Applicandae Mathematicae. 2023 Oct;187(1):2. doi: 10.1007/s10440-023-00595-1

Author

Bibilova, S. A. ; Gubarev, Y. G. / Two-Flow Instability of One Class of Spherically Symmetric Dynamic Equilibrium States of Vlasov-Poisson Plasma. In: Acta Applicandae Mathematicae. 2023 ; Vol. 187, No. 1.

BibTeX

@article{d811fa7d6f5344e5b070490e4f750f6d,
title = "Two-Flow Instability of One Class of Spherically Symmetric Dynamic Equilibrium States of Vlasov-Poisson Plasma",
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.",
keywords = "Direct Lyapunov method, Dynamic equilibrium states, Instability, Vlasov-Poisson plasma",
author = "Bibilova, {S. A.} and Gubarev, {Y. G.}",
year = "2023",
month = oct,
doi = "10.1007/s10440-023-00595-1",
language = "English",
volume = "187",
journal = "Acta Applicandae Mathematicae",
issn = "0167-8019",
publisher = "Springer Science + Business Media",
number = "1",

}

RIS

TY - JOUR

T1 - Two-Flow Instability of One Class of Spherically Symmetric Dynamic Equilibrium States of Vlasov-Poisson Plasma

AU - Bibilova, S. A.

AU - Gubarev, Y. G.

PY - 2023/10

Y1 - 2023/10

N2 - 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.

AB - 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.

KW - Direct Lyapunov method

KW - Dynamic equilibrium states

KW - Instability

KW - Vlasov-Poisson plasma

UR - https://www.scopus.com/record/display.uri?eid=2-s2.0-85168695506&origin=inward&txGid=ee13a4783658c3fc251d023be9905351

UR - https://www.mendeley.com/catalogue/ab2a782b-3dd1-36dc-b0e5-3465831cd133/

U2 - 10.1007/s10440-023-00595-1

DO - 10.1007/s10440-023-00595-1

M3 - Article

VL - 187

JO - Acta Applicandae Mathematicae

JF - Acta Applicandae Mathematicae

SN - 0167-8019

IS - 1

M1 - 2

ER -

ID: 55032653