@inproceedings{Oliynyk2008TheNL,
title={The Newtonian limit for perfect fluids},
author={Todd A. Oliynyk},
year={2008}
}

Todd A. Oliynyk

Published 2008

We prove that there exists a class of non-stationary solutions to the Einstein-Euler equations which have a Newtonian limit. The proof of this result is based on a symmetric hyperbolic formulation of the Einstein-Euler equations which contains a singular parameter ǫ = vT /c where vT is a characteristic velocity scale associated with the fluid and c is the speed of light. The symmetric hyperbolic formulation allows us to derive ǫ independent energy estimates on weighted Sobolev spaces. These… CONTINUE READING