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Polyachenko, E.V., Shukhman, I.G. and Borodina, O.I. (2021) Damped Perturbations in Stellar Systems: Genuine Modes and Landau-Damped Waves. Monthly Notices of the Royal Astronomical Society, 503, 660-668.
https://doi.org/10.1093/mnras/stab537

has been cited by the following article:

• TITLE: Wave Solutions of the Vlasov-Poisson Equation and Evolution of Cosmological Structures

  AUTHORS: Nikolay N. Fimin

  KEYWORDS: Van Kampen Normal Modes, Dispersion Relation, Vlasov-Poisson Equation, Liouville-Gelfand Equation

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.14 No.5, May 22, 2026

  ABSTRACT: This paper is devoted to analysis of the evolution of cosmological structures using the invariant properties of the Vlasov-Poisson system of equations. It is shown that the energy substitution in the Vlasov equation leads to a class of undamped and damped wave oscillations of the van Kampen, Landau and Bernstein type, internally related to each other. These waves in space have very universal properties, in many ways identical to those considered in plasma theory. Large-scale astrophysical systems can be considered as consequences of the implementation of density waves, and since their density is anisotropic, this can affect the measurement of various astronomical parameters.