Newtonian limit for the relativistic Euler-Poisson equations with vacuum

Singularity formation for the relativistic Euler‐Poisson equations with repulsive force and damping

“…Mai and Mei [10] proved the existence and uniqueness of local smooth solutions for the free boundary value problem to the relativistic Euler‐Poisson equations with repulsive forces as the mass energy density connects with the vacuum continuously at the free boundary in $$$ {\mathrm{\mathbb{R}}}^3 $$$. By using test functions, Chan, Wong, and Yuen [5] considered the blowup result of regular solutions for the spherically symmetry relativistic Euler‐Poisson equations with repulsive forces.…”