Note on the descriptions of the Euler-Poisson equations in various co-ordinate systems

Abstract

In this note we derive the descriptions of the system of Euler-Poisson equations which governs the hydrodynamic evolution of gaseous stars in various co-ordinate systems. This note does not contain essentially new results for astrophysicists, but mathematically rigorous derivations cannot be found in the literatures written by physicists so that it will be useful to prepare details of rather stupidly honest derivations of the equations in various flames when we are going to push forward the mathematical research of the problem.

Few typos corrected

Cited by in corpus (1)

• The Fundamental Equilibrium Equation For Gaseous Stars And The Tolman-Oppenheimer-Volkoff Equation -- Derivations And Applications With Emphasis On Optimisational-Variational Methods