A Proposal of a Damping Term for the Relativistic Euler Equations

Moritz Reintjes

A Proposal of a Damping Term for the Relativistic Euler Equations

General Relativity and Quantum Cosmology 2015-11-26 v1

Authors: Moritz Reintjes

Abstract

We introduce a damping term for the special relativistic Euler equations in $3$ -D and show that the equations reduce to the non-relativistic damped Euler equations in the Newtonian limit. We then write the equations as a symmetric hyperbolic system for which local-in-time existence of smooth solutions can be shown.

Keywords

relativistic Euler equations damping term Newtonian limit symmetric hyperbolic system local-in-time existence smooth solutions

Cite

@article{arxiv.1511.08183,
  title  = {A Proposal of a Damping Term for the Relativistic Euler Equations},
  author = {Moritz Reintjes},
  journal= {arXiv preprint arXiv:1511.08183},
  year   = {2015}
}

Comments

11 pages

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