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