Stability investigation for three-dimensional states of dynamic equilibrium of two-component Vlasov-Poisson plasma

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Stability investigation for three-dimensional states of dynamic equilibrium of two-component Vlasov-Poisson plasma. / Gubarev, Yuriy G.; Luo, Jingyue.

In: AIP Conference Proceedings, Vol. 2872, No. 1, 060027-1, 2023.

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

BibTeX

@article{a2f089e0af704ce5a6813c368f1f5778,

title = "Stability investigation for three-dimensional states of dynamic equilibrium of two-component Vlasov-Poisson plasma",

abstract = "In this paper, the stability for three-dimensional (3D) states of dynamic equilibrium of the two-component Vlasov-Poisson plasma was studied. Using the direct Lyapunov method, it was proved that the spatial dynamic equilibria of the Vlasov-Poisson plasma with respect to small 3D perturbations are absolutely unstable. For the spatial states of dynamic equilibrium of the two-component Vlasov-Poisson plasma, the sufficient conditions for linear practical instability were obtained. The a priori exponential lower estimate was constructed, and the initial data for small 3D perturbations which are growing with time were characterized.",

author = "Gubarev, {Yuriy G.} and Jingyue Luo",

note = "This work was supported partially by China Scholarship Council (National construction of high-level university public graduate project).",

year = "2023",

doi = "10.1063/5.0163015",

language = "English",

volume = "2872",

journal = "AIP Conference Proceedings",

issn = "0094-243X",

publisher = "American Institute of Physics",

number = "1",

}

RIS

TY - JOUR

T1 - Stability investigation for three-dimensional states of dynamic equilibrium of two-component Vlasov-Poisson plasma

AU - Gubarev, Yuriy G.

AU - Luo, Jingyue

N1 - This work was supported partially by China Scholarship Council (National construction of high-level university public graduate project).

PY - 2023

Y1 - 2023

N2 - In this paper, the stability for three-dimensional (3D) states of dynamic equilibrium of the two-component Vlasov-Poisson plasma was studied. Using the direct Lyapunov method, it was proved that the spatial dynamic equilibria of the Vlasov-Poisson plasma with respect to small 3D perturbations are absolutely unstable. For the spatial states of dynamic equilibrium of the two-component Vlasov-Poisson plasma, the sufficient conditions for linear practical instability were obtained. The a priori exponential lower estimate was constructed, and the initial data for small 3D perturbations which are growing with time were characterized.

AB - In this paper, the stability for three-dimensional (3D) states of dynamic equilibrium of the two-component Vlasov-Poisson plasma was studied. Using the direct Lyapunov method, it was proved that the spatial dynamic equilibria of the Vlasov-Poisson plasma with respect to small 3D perturbations are absolutely unstable. For the spatial states of dynamic equilibrium of the two-component Vlasov-Poisson plasma, the sufficient conditions for linear practical instability were obtained. The a priori exponential lower estimate was constructed, and the initial data for small 3D perturbations which are growing with time were characterized.

UR - https://www.scopus.com/record/display.uri?eid=2-s2.0-85176766969&origin=inward&txGid=156b469b01e3cc6f1f575340149490ff

UR - https://www.mendeley.com/catalogue/8ca6e911-dd07-325e-8b25-8e2d4d65e4ed/

U2 - 10.1063/5.0163015

DO - 10.1063/5.0163015

M3 - Conference article

VL - 2872

JO - AIP Conference Proceedings

JF - AIP Conference Proceedings

SN - 0094-243X

IS - 1

M1 - 060027-1

ER -

ID: 59233171