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
Abstract:
We consider general properties of the stationary fluid flows in the relativistic magnetic hydrodynamics (MHD). The
dissipative effects are described by LandauLifshitz relativistic viscosity tensor with two nonzero 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 nonconvex equation of state). The effects due to introduction of a finite conductivity
described by relativistic Ohm's law are also considered.
