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KIAM Preprint № 67, Moscow, 2023
Authors: Fimin N.N., Chechetkin V.M.
Determinism of genesis of large-scale structures in astrophysics
Abstract:
The criteria for the formation of non-stationary pseudo-periodic structures in a system of gravitating particles, described by the Vlasov--Poisson system of equations. Conditions of branching of solutions of a nonlinear integral equation for a generalized gravitational potential, leading to the emergence of coherent complex states of relative equilibrium in non-stationary systems of massive particles, is studied.
Keywords:
Vlasov-Poisson equation, Newton-Gurzadyan potential, pseudo-periodicity of structures, Fredholm equation
Publication language: russian,  pages: 24
Research direction:
Mathematical modelling in actual problems of science and technics
Russian source text:
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About authors:
  • Fimin Nikolay Nikolaevich,  orcid.org/0000-0003-2629-5380KIAM RAS
  • Chechetkin Valery Mihailovich,  orcid.org/0000-0002-5241-7962KIAM RAS