Hyperbolicity of Force-Free Electrodynamics
General Relativity and Quantum Cosmology
2013-07-31 v1 High Energy Astrophysical Phenomena
Abstract
We analyze the equations of relativistic magnetized plasma dynamics in the limiting case that electromagnetic stress-energy is dominant over pressure and rest mass energy density. The naive formulation of these equations is shown to be not hyperbolic. Modifying the equations by terms that vanish for all physical solutions, we obtain a symmetric hyperbolic evolution system, which should exhibit improved numerical behavior.
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Cite
@article{arxiv.1307.7782,
title = {Hyperbolicity of Force-Free Electrodynamics},
author = {Harald P. Pfeiffer and Andrew I. MacFadyen},
journal= {arXiv preprint arXiv:1307.7782},
year = {2013}
}
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11 pages