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

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

Conference

11TH INTERNATIONAL CONFERENCE ON MATHEMATICAL MODELING IN PHYSICAL SCIENCES
05-08 Sep 2022 , Белград

Journal

AIP Conference Proceedings
ISSN: 0094-243X

Output data

Year: 2023, Volume: 2872, Article number : 060027, Pages count : 7 DOI: 10.1063/5.0163015

Authors

Gubarev Yuriy G. ^1,2 , Luo Jingyue ²

Affiliations

1	Laboratory for Fluid and Gas Vortex Motions, Lavrentyev Institute for Hydrodynamics, Novosibirsk, 630090, Russian Federation
2	Department for Differential Equations, Novosibirsk State University, Novosibirsk, 630090, Russian Federation

Funding (2)

1	Министерство науки и высшего образования Российской Федерации	FWGG-2021-0008
2	Министерство науки и высшего образования Российской Федерации	FWGG-2021-0004

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

Gubarev Y.G. , Luo J.
Stability investigation for three-dimensional states of dynamic equilibrium of two-component Vlasov-Poisson plasma
AIP Conference Proceedings. 2023. V.2872. 060027 :1-7. DOI: 10.1063/5.0163015 Scopus РИНЦ OpenAlex

Published online:

Sep 28, 2023

Scopus:	2-s2.0-85176766969
Elibrary:	67233812
OpenAlex:	W4387125119

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