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On instability of three-dimensional dynamic equilibrium states of self-gravitating Vlasov-Poisson gas. / Gubarev, Yu G.; Sun, S.

In: Journal of Physics: Conference Series, Vol. 1730, No. 1, 012069, 03.02.2021.

Research output: Contribution to journal › Conference article › peer-review

Harvard

Gubarev, YG & Sun, S 2021, 'On instability of three-dimensional dynamic equilibrium states of self-gravitating Vlasov-Poisson gas', Journal of Physics: Conference Series, vol. 1730, no. 1, 012069. https://doi.org/10.1088/1742-6596/1730/1/012069

APA

Gubarev, Y. G., & Sun, S. (2021). On instability of three-dimensional dynamic equilibrium states of self-gravitating Vlasov-Poisson gas. Journal of Physics: Conference Series, 1730(1), [012069]. https://doi.org/10.1088/1742-6596/1730/1/012069

Vancouver

Gubarev YG, Sun S. On instability of three-dimensional dynamic equilibrium states of self-gravitating Vlasov-Poisson gas. Journal of Physics: Conference Series. 2021 Feb 3;1730(1):012069. doi: 10.1088/1742-6596/1730/1/012069

Author

Gubarev, Yu G. ; Sun, S. / On instability of three-dimensional dynamic equilibrium states of self-gravitating Vlasov-Poisson gas. In: Journal of Physics: Conference Series. 2021 ; Vol. 1730, No. 1.

BibTeX

@article{86634e177146482ba4a6d90bacd3ca20,
title = "On instability of three-dimensional dynamic equilibrium states of self-gravitating Vlasov-Poisson gas",
abstract = "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.",
author = "Gubarev, {Yu G.} and S. Sun",
note = "Funding Information: This work was supported partially by China Scholarship Council (National construction of high-level university public graduate project). Publisher Copyright: {\textcopyright} Published under licence by IOP Publishing Ltd. Copyright: Copyright 2021 Elsevier B.V., All rights reserved.; 9th International Conference on Mathematical Modeling in Physical Sciences, IC-MSQUARE 2020 ; Conference date: 07-09-2020 Through 10-09-2020",
year = "2021",
month = feb,
day = "3",
doi = "10.1088/1742-6596/1730/1/012069",
language = "English",
volume = "1730",
journal = "Journal of Physics: Conference Series",
issn = "1742-6588",
publisher = "IOP Publishing Ltd.",
number = "1",

}

RIS

TY - JOUR

T1 - On instability of three-dimensional dynamic equilibrium states of self-gravitating Vlasov-Poisson gas

AU - Gubarev, Yu G.

AU - Sun, S.

N1 - Funding Information: This work was supported partially by China Scholarship Council (National construction of high-level university public graduate project). Publisher Copyright: © Published under licence by IOP Publishing Ltd. Copyright: Copyright 2021 Elsevier B.V., All rights reserved.

PY - 2021/2/3

Y1 - 2021/2/3

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=85101536301&partnerID=8YFLogxK

U2 - 10.1088/1742-6596/1730/1/012069

DO - 10.1088/1742-6596/1730/1/012069

M3 - Conference article

AN - SCOPUS:85101536301

VL - 1730

JO - Journal of Physics: Conference Series

JF - Journal of Physics: Conference Series

SN - 1742-6588

IS - 1

M1 - 012069

T2 - 9th International Conference on Mathematical Modeling in Physical Sciences, IC-MSQUARE 2020

Y2 - 7 September 2020 through 10 September 2020

ER -

ID: 28002912