The Newtonian limit for perfect fluids

@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

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