Prefer a chat interface with context about you and your work?
On the existence of solutions to the relativistic Euler equations in two spacetime dimensions with a vacuum boundary
We prove the existence of a wide class of solutions to the isentropic relativistic Euler equations in 2 spacetime dimensions with an equation of state of the form $p=K\rho^2$ that have a fluid vacuum boundary. Near the fluid vacuum boundary, the sound speed for these solutions are monotonically decreasing, approaching …