Non-relativistic global limits of entropy solutions to the isentropic relativistic Euler equations

摘要

We consider in this paper the relativistic Euler equations in isentropic fluids with the equation of state p = kappa(2)rho, where kappa, the sound speed, is a constant less than the speed of light c. We discuss the convergence of the entropy solutions as c ->infinity. The analysis is based on the geometric properties of nonlinear wave curves and the Glimm's method.