A priori estimates for the linearized relativistic Euler equations with a physical vacuum boundary and an ideal gas equation of state

In this article, we will provide a result on the relativistic Euler equations for an ideal gas equation of state and a physical vacuum boundary. More specifically, we will prove a priori estimates for the linearized system in weighted Sobolev spaces. Our focus will be on choosing the correct thermodynamic variables, developing a weighted book-keeping scheme, and then proving energy estimates for the linearized system. For more information see https://ejde.math.txstate.edu/Volumes/2025/10/abstr.html