@article{b21f30889a7646ffbd6a09435e6bf923,
title = "Future global stability for relativistic perfect fluids with linear equations of state bfitp = bfitk bfitrho where 1/3 < bfitk < 1/2",
abstract = "We establish the future stability of nonlinear perturbations of a class of homogeneous solutions to the relativistic Euler equations with a linear equation of state p = Kρ on exponentially expanding Friedmann-Lema{\^i}tre-Robertson-Walker spacetimes for the equation of state parameter values 1/3 < K < 1/2.",
keywords = "FLRW spacetimes, Fuchsian equations, Future global stability, Global existence, Relativistic Euler equations",
author = "Oliynyk, {Todd A.}",
note = "Funding Information: \ast Received by the editors August 20, 2020; accepted for publication April 16, 2021; published electronically July 22, 2021. https://doi.org/10.1137/20M1361195 Funding: The work of the author was supported by the Australian Research Council grant DP170100630. \dagger School of Mathematics, Monash University, Clayton, VIC 3800, Australia (todd.oliynyk@ monash.edu). 1Our indexing conventions are as follows: lower case Latin letters, e.g., i, j, k, will index spacetime coordinate indices that run from 0 to 3 while upper case Latin letters, e.g., I,J,K, will index spatial coordinate indices that run from 1 to 3. 2By introducing the change of coordinate t\~= - ln(t), the metric (1.2) can be brought into the more recognizable form Publisher Copyright: {\textcopyright} 2021 Society for Industrial and Applied Mathematics Publications. All rights reserved. Copyright: Copyright 2021 Elsevier B.V., All rights reserved.",
year = "2021",
doi = "10.1137/20M1361195",
language = "English",
volume = "53",
pages = "4118--4141",
journal = "SIAM Journal on Mathematical Analysis",
issn = "0036-1410",
publisher = "Society for Industrial & Applied Mathematics (SIAM)",
number = "4",
}