Quasi-Two-Dimentional Modeling of the Self Gravitating Gas

TL;DR

This paper develops a quasi-two-dimensional model for a self-gravitating gas, analyzing small adiabatic perturbations and demonstrating the periodic nature of solutions under weak transverse nonhomogeneity.

Contribution

It introduces a novel quasi-two-dimensional framework for self-gravitating gases with proof of space periodic solutions under specific approximations.

Findings

Proof of space periodicity of solutions

Modeling of small adiabatic perturbations

Framework for weak transverse nonhomogeneity

Abstract

The quasi-two-dimensional modeling of the small adiabatic perturbation on the background of the stationary configuration of the selfgravitating gas with the weak transverse nonhomogeneity approximation is presented. The space periodic character of the solution of this system is proofed.