We consider the ultra-relativistic Euler equations for an ideal gas, which are described in
terms of the pressure p and the spatial part u∈ R 3 of the dimensionless four-velocity. We …

We study the ultra‐relativistic Euler equations for an ideal gas, which is a system of
nonlinear hyperbolic conservation laws. We first analyze the single shocks and rarefaction …

A kinetic solution for the relativistic Euler equations is presented. This solution describes the
flow of a perfect gas in terms of the particle density n, the spatial part of the four-velocity u …

We consider in this paper the relativistic Euler equations in isentropic fluids with the
equation of state p= κ 2 ρ, where κ, the sound speed, is a constant less than the speed of …

The authors consider the local smooth solutions to the isentropic relativistic Euler equations
in (3+ 1)-dimensional space-time for both non-vacuum and vacuum cases. The local …

This paper presents a Runge–Kutta discontinuous Galerkin (RKDG) method for the Euler
equations of gas dynamics from the viewpoint of kinetic theory. Like the traditional gas …

In this paper we extend the special relativistic hydrodynamic (SRHD) equations [LD Landau,
EM Lifshitz, Fluid Mechanics, Pergamon, New York, 1987] and as a limiting case the ultra …

The special relativistic hydrodynamic equations are more complicated than the classical
ones due to the nonlinear and implicit relations that exist between conservative and primitive …

A second-order accurate kinetic scheme for the numerical solution of the relativistic Euler
equations is presented. These equations describe the flow of a perfect fluid in terms of the …

In dieser Arbeit sollen mathematische Studien hyperbolischer Systeme von
Erhaltungsgleichungen mit ausgewählten physikalischen Anwendungen verbunden …