Non-relativistic global limits of entropy solutions to the isentropic relativistic Euler equations
- First Online:
- 96 Downloads
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.
Mathematics Subject Classification (2000).Primary: 35B40 35A05 76Y05 Secondary: 35B35 35L65 85A05
Keywords.Isentropic relativistic Euler equations entropy solutions Riemann solutions Glimm’s scheme Lorentz transformation
Unable to display preview. Download preview PDF.