Non-relativistic global limits of entropy solutions to the isentropic relativistic Euler equations
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- Li, Y. & Geng, Y. Z. angew. Math. Phys. (2006) 57: 960. doi:10.1007/s00033-006-0059-4
We consider in this paper the relativistic Euler equations in isentropic fluids with the equation of state p = κ2ρ, where κ, the sound speed, is a constant less than the speed of light c. We discuss the convergence of the entropy solutions as c→∞. The analysis is based on the geometric properties of nonlinear wave curves and the Glimm’s method.