Heinrich Freistühler, Yuri Trakhinin
We consider the equations of relativistic magnetohydrodynamics (RMHD) in the
case of special relativity. For the fluid rest frame a nonconservative
reformulation of the RMHD equations gives a symmetric system for the vector of
primitive (physical) variables. By applying the Lorentz transformation to this
system we find a concrete form of symmetric matrices in the LAB-frame. The
resulting symmetric system in terms of primitive variables is important for the
study of various initial boundary value problems for the RMHD equations. We
also find a so-called secondary symmetrization whose direct consequence is the
extension of the sufficient stability condition obtained earlier for
non-relativistic planar current-vortex sheets to the relativistic case. As in
non-relativistic settings, this implies the local-in-time existence of
corresponding smooth nonplanar current-vortex sheets.
View original:
http://arxiv.org/abs/1202.1946
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