Logo
ScienceStack
Table of Contents
Fetching ...
Sign In

Cylindrical Euler--Poisson Equation in a Chaplygin Gas Medium

Balázs Endre Szigeti, Imre Ferenc Barna, Gergely Gábor Barnaföldi

Abstract

We studied the Euler--Poisson equation system in the case of cylindrical symmetry with the von Neumann--Sedov--Taylor type of self-similar Ansatz and present scaling solutions. We have analyzed the scenario governed by Chaplygin's equation of state, which has historically been studied as a unifying framework of dark fluid for dark matter and dark energy.

Cylindrical Euler--Poisson Equation in a Chaplygin Gas Medium

Abstract

We studied the Euler--Poisson equation system in the case of cylindrical symmetry with the von Neumann--Sedov--Taylor type of self-similar Ansatz and present scaling solutions. We have analyzed the scenario governed by Chaplygin's equation of state, which has historically been studied as a unifying framework of dark fluid for dark matter and dark energy.

Paper Structure

This paper contains 3 sections, 3 equations, 1 figure, 1 table.

Table of Contents

  1. Introduction
  2. Euler -- Poisson Equation System
  3. Summary

Figures (1)

  • Figure 1: The shape-functions (for EoS variants (i)-(iii) from left to right and top to bottom respectively) and for $n=1$, as solutions of the reduced Euler -- Poisson equation function expressed as function $\eta$ similarity variable.