A Proposal of a Damping Term for the Relativistic Euler Equations

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.

11 pages

References in corpus (1)

• Neutrino Radiation Showing a Christodoulou Memory Effect in General Relativity