# Relativistic Rankine-Hugoniot Equations

@article{Taub1948RelativisticRE, title={Relativistic Rankine-Hugoniot Equations}, author={A. H. Taub}, journal={Physical Review}, year={1948}, volume={74}, pages={328-334} }

In Part I of this paper the stress energy tensor and the mean velocity vector of a simple gas are expressed in terms of the Maxwell-Boltzman distribution function. The rest density ρ0, pressure, p, and internal energy per unit rest mass e are defined in terms of invariants formed from these tensor quantities. It is shown that e cannot be an arbitrary function of p and ρ0 but must satisfy a certain inequality. Thus e=(1γ−1)pρ0 for γ>53 is impossible. It is known that if e is given by this…

## 364 Citations

Relativistic oblique magnetohydrodynamic shocks

- Physics
- 1987

Special relativistic magnetohydrodynamic shock waves in a perfect gas of infinite conductivity and constant adiabatic index are analysed. It is shown that the Rankine-Hugoniot equations for such…

Propagation of hydromagnetic waves in a relativistic plasma

- Physics
- 1982

The hydrodynamic approach to a relativistic gas is studied on the basis of methods used by Chew, Goldberger & Low and by Scargle. As the result of this study, the explicit form of the energy–momentum…

Relativistic gasdynamics in two dimensions

- Physics, Mathematics
- 1980

Steady two‐dimensional flow of an ideal compressible fluid is studied in the context of special‐relativistic gasdynamics. The Newtonian equations for potential flow, including the equation of…

Global Solutions to the Ultra-Relativistic Euler Equations

- Physics
- 2007

We show that when entropy variations are included and special relativity is imposed, the thermodynamics of a perfect fluid leads to two distinct families of equations of state whose relativistic…

The relativistic Riemann invariants and the propagation of initial data surfaces

- Mathematics, Physics
- 1972

A method is described by which the relativistic Riemann invariants can be found for a fluid with an arbitrary equation of state, undergoing dissipation and moving in a general metric. Specific…

General Relativistic Radiant Shock Waves in the Post-Quasistatic Approximation

- Physics
- 2007

An evolution of radiant shock wave front is considered in the framework of a recently presented method to study self-gravitating relativistic spheres, whose rationale becomes intelligible and finds…

Equation of state in relativistic magnetohydrodynamics: variable versus constant adiabatic index

- Physics
- 2007

The role of the equation of state (EoS) for a perfectly conducting, relativistic magnetized fluid is the main subject of this work. The ideal constant Γ-law EoS, commonly adopted in a wide range of…

Nonlinear Hyperbolic Waves in Relativistic Gases of Massive Particles with Synge Energy

- MathematicsArchive for Rational Mechanics and Analysis
- 2020

In this article, we study some fundamental properties of nonlinear waves and the Riemann problem of Euler’s relativistic system when the constitutive equation for energy is that of Synge for a…

Relativistic hydrodynamic approach to the classical ideal gas

- PhysicsPhysical Review D
- 2019

The necessary and sufficient condition for a conservative perfect fluid energy tensor to be the energetic evolution of a classical ideal gas is obtained. This condition forces the square of the speed…