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 -