Strength Estimation of the Waves for the Ultra-Relativistic Euler Equations

Abstract We study the ultra relativistic Euler equations for an ideal gas, which is a system of nonlinear hyperbolic conservation laws. We first give the parametrizations of single shocks and rarefaction waves and we give the solution of the Riemann problem in a constructive way. A sharp estimates of the strengths of the waves of the ultra-relativistic Euler equations are derived