Relativistic shock waves in the presence of regions with anomalous equation of state

One-Dimensional Discontinuous Flows in Relativistic Magnetohydrodynamics

“…In case of anomalous fluid with a nonconvex equation of state some more stringent criteria are needed that may be represented as requirements to the form of shock adiabate (see, e.g., [2], [3]). The generalization to the relativistic shock waves is worked out in [4], [5].…”

“…In this paper the analogous problem in relativistic magnetohydrodynamics is considered. In order to formulate the conditions for existence of admissible shock waves in the fluid with a nonconvex (in the relativistic sense) equation of state we modify the approach of [4], [5] based on the small viscosity considerations. The resulting criterion is expressed in terms of shock adiabats, defined by the equation of state, and some pattern curves in the plane of thermodynamic coordinates pressure-conserving charge density.…”