Mathematical Aspects Relative to the Fluid Statics of a Self-Gravitating Perfect-Gas Isothermal Sphere
Year: 2020
Author: Pierluigi Amodio, Domenico Giordano, Felice Iavernaro, Arcangelo Labianca, Monica Lazzo, Francesca Mazzia, Lorenzo Pisani
Communications in Computational Physics, Vol. 28 (2020), Iss. 3 : pp. 1085–1104
Abstract
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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/cicp.OA-2019-0203
Communications in Computational Physics, Vol. 28 (2020), Iss. 3 : pp. 1085–1104
Published online: 2020-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 20
Keywords: Self-gravitating gas Lane-Emden equation multiple solutions.