Mathematics
Scientific paper
Jul 1981
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1981afz....17..469s&link_type=abstract
(Astrofizika, vol. 17, July-Sept. 1981, p. 469-485.) Astrophysics, vol. 17, no. 3, Jan. 1982, p. 263-272. Translation.
Mathematics
7
Dynamic Pressure, Gravitational Effects, Particle Motion, Perturbation Theory, Random Processes, Adiabatic Conditions, Density Distribution, Nonlinear Equations, Singularity (Mathematics)
Scientific paper
A study is made of the nonlinear stage in the evolution of adiabatic density perturbations in a collisionless medium in the presence of dynamic pressure produced by random motions of the particles. The increase in the steepness of the profile and the breaking of nonlinear waves are analyzed. A function that approximately describes the evolution of nonlinear perturbations in a 'hot' medium is obtained explicitly. Relations are derived that make it possible to calculate the density, matter pressure, etc., from the initial parameters of the medium. The results can be used to study the simultaneous evolution of small-scale (10 to the 5th-10 to the 6th solar masses) entropy perturbations and large-scale (10 to the 13th-10 to the 15th solar masses) adiabatic perturbations and they describe the clustering of dense gas clouds, where the mass is approximately equal to the Jeans mass, formed after recombination into larger groupings - galaxies and clusters of galaxies.
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