On the Steady State Relativistic Euler-Poisson Equations
We are concerned with the mathematical analysis of the relativistic Euler-Poisson equations in one dimensional case. The existence and uniqueness of the related smooth steady state solutions are proved. The non-relativistic limit and zero-relaxation limit of the model as well as their convergence rates are also obtained.
relativistic euler-poisson equations steady state solution non-relativistic limit zero-relaxation limit 35q75 35b40 85a05