Small viscosity method and criteria for shock wave existence in relativistic magnetic hydrodynamics

TL;DR

This paper develops criteria for the existence of shock waves in relativistic magnetic hydrodynamics without assuming convex equations of state, using a continuous shock profile approach with relativistic viscosity.

Contribution

It introduces a novel method considering Landau-Lifshitz viscosity tensor to derive shock wave criteria without convexity assumptions.

Findings

Criteria for shock wave existence in relativistic MHD.

Method applicable with non-zero viscosity coefficients.

No convexity assumptions on the equation of state.

Abstract

We obtain criteria for shock wave (SW)existence in relativistic magnetic hydrodynamics with no suppositions about convexity of the equation of state. Method of derivation involves consideration of a continuous SW profile in presence of Landau-Lifshitz relativistic viscosity tensor with both non-zero viscosity coefficients.