In this paper, we consider the kinetic model of continuous type describing a polyatomic gas in two different settings corresponding to choice functional space used define macroscopic quantities. Such introduces single variable supposed capture all phenomena related more complex structure molecule. In particular, provide direct comparison these settings, and show the...

Spectral methods are well suited for solving hydrodynamic problems in which the self-gravity of the flow needs to be considered. Because Poisson’s equation is linear, the numerical solution for the gravitational potential for each individual mode of the density can be pre-computed, thus reducing substantially the computational cost of the method. In this second paper, we describe two different ...

Some features of hydroand thermodynamics, as applied to atmospheres and to stellar structures, are puzzling: 1. The suggestion, first made by Laplace, that our atmosphere has an adiabatic temperature distribution, is confirmed for the lower layers, but the reason why it should be so is difficult to understand. 2. The standard treatment of relativistic thermodynamics does not allow for a systema...

We present a simple, analytic and straightforward method to elucidate the effects produced by polytropic fluids on any other gravitational source, no matter its nature, for static spherically symmetric spacetimes. As direct application, we study interaction between polytropes perfect coexisting inside self-gravitating stellar object