Valery Zhdanov (National Taras Shevchenko University of Kyiv & NTUU "Kyiv Polytechnic Institute", Ukraine)

Stationary plane flows in relativistic dissipative MHD with general equation of state

Abstract:
We consider general properties of the stationary fluid flows in the relativistic magnetic hydrodynamics (MHD). The dissipative effects are described by Landau-Lifshitz relativistic viscosity tensor with two non-zero coefficients. We investigate the existence of a viscous profile of the MHD shock wave yielding general conditions of shock existence in relativistic MHD with arbitrary equation of state (including the case of a non-convex equation of state). The effects due to introduction of a finite conductivity described by relativistic Ohm's law are also considered.