Oscillating Shock Profiles in Relativistic Fluid Dynamics

This note studies a model for relativistic pure-radiation fluids with viscosity that was recently proposed by Bemfica, Disconzi and Noronha, and shows that there are shock waves whose continuous shock profiles, if existing, are oscillating in any variables. This behavior differs significantly from the situation in classical fluid dynamics, in which canonical state variables are monotone along the shock profile. This paper shows that a generic local scenario established in Pellhammer (submitted) for a general context extends globally for this particular model.