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

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

Journal

Journal of Physics: Conference Series
ISSN: 1742-6588

Output data

Year: 2021, Volume: 1730, Number: 1, Article number : 012069, Pages count : 4 DOI: 10.1088/1742-6596/1730/1/012069

Authors

Gubarev Yu G ^1,2 , Sun S ¹

Affiliations

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

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.

Gubarev Y.G. , Sun S.
On instability of three-dimensional dynamic equilibrium states of self-gravitating Vlasov-Poisson gas
Journal of Physics: Conference Series. 2021. V.1730. N1. 012069 :1-4. DOI: 10.1088/1742-6596/1730/1/012069 Scopus РИНЦ OpenAlex

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