12 citations · 30 across the 9 of their papers we have counts for
9 papers
Ultraviolet Cascades, Norm Inflation, and the Rendall Instability for the Einstein-Euler System with Positive Cosmological Constant
Elliot Marshall
We numerically study perturbations of spatially homogeneous and orthogonal solutions to the Einstein-Euler equations with positive cosmological constant and linear equation of stat…
Non-linear stability of the matter dominated universe
David Fajman, Elliot Marshall
We numerically study non-linear perturbations of the Einstein-de Sitter spacetime as a solution to the Gowdy-symmetric Einstein-Euler system for a polytropic equation of state. The…
Mixmaster Fluids Near the Big Bang
Elliot Marshall
We numerically study the approach to the singularity in -symmetric cosmological spacetimes containing a non-stiff perfect fluid satisfying a linear equation of stat…
Future Stability of Tilted Two-Fluid Bianchi I Spacetimes
Grigorios Fournodavlos, Elliot Marshall, Todd A. Oliynyk
We establish the nonlinear stability to the future of tilted two-fluid Bianchi I solutions to the Einstein-Euler equations with positive cosmological constant and linear equations…
Instability of Slowly Expanding FLRW Spacetimes
Elliot Marshall
We numerically study, under a Gowdy symmetry assumption, nonlinear perturbations of the decelerated FLRW fluid solutions to the Einstein-Euler system toward the future for linear e…
Past instability of FLRW solutions of the Einstein-Euler-scalar field equations for linear equations of state with
Florian Beyer, Elliot Marshall, Todd A. Oliynyk
Using numerical methods, we examine, under a Gowdy symmetry assumption, the dynamics of nonlinearly perturbed FLRW fluid solutions of the Einstein-Euler-scalar field equations in t…
Future stability of perfect fluids with extreme tilt and linear equation of state for the Einstein-Euler system with positive cosmological constant: The range
Grigorios Fournodavlos, Elliot Marshall, Todd A. Oliynyk
We study the future stability of cosmological fluids, in spacetimes with an accelerated expansion, which exhibit extreme tilt behavior, ie. their fluid velocity becoming asymptotic…
Future instability of FLRW fluid solutions for linear equations of state with
Florian Beyer, Elliot Marshall, Todd A. Oliynyk
Using numerical methods, we examine the dynamics of nonlinear perturbations in the expanding time direction, under a Gowdy symmetry assumption, of FLRW fluid solutions to the Einst…
On the stability of relativistic perfect fluids with linear equations of state where
Elliot Marshall, Todd A. Oliynyk
For , we consider the stability of two distinct families of spatially homogeneous solutions to the relativistic Euler equations with a linear equation of state on e…