Symmetry in Nonlinear Mathematical Physics - 2009

Maxim Borshch (National Taras Shevchenko University of Kyiv, Ukraine)

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

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.