@Article{CiCP-28-3,
author = {Pierluigi, Amodio and Giordano, Domenico and Iavernaro, Felice and Labianca, Arcangelo and Monica, Lazzo and Mazzia, Francesca and Pisani, Lorenzo},
title = {Mathematical Aspects Relative to the Fluid Statics of a Self-Gravitating Perfect-Gas Isothermal Sphere},
journal = {Communications in Computational Physics},
year = {2020},
volume = {28},
number = {3},
pages = {1085--1104},
abstract = {<p style="text-align: justify;">In the present paper we analyze and discuss some mathematical aspects of
the fluid-static configurations of a self-gravitating perfect gas enclosed in a spherical
solid shell. The mathematical model we consider is based on the well-known Lane-Emden equation, albeit under boundary conditions that differ from those usually assumed in the astrophysical literature. The existence of multiple solutions requires particular attention in devising appropriate numerical schemes apt to deal with and catch
the solution multiplicity as efficiently and accurately as possible. In sequence, we describe some analytical properties of the model, the two algorithms used to obtain numerical solutions, and the numerical results for two selected cases.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.OA-2019-0203},
url = {https://global-sci.com/article/79713/mathematical-aspects-relative-to-the-fluid-statics-of-a-self-gravitating-perfect-gas-isothermal-sphere}
}