99 citations · 687 across the 54 of their papers we have counts for
4 papers · 1 filter
A Fuchsian viewpoint on the weak null condition
Todd A. Oliynyk, J. Arturo Olvera-Santamaría
We analyze systems of semilinear wave equations in dimensions whose associated asymptotic equation admit bounded solutions for suitably small choices of initial data. Under t…
Relativistic perfect fluids near Kasner singularities
Florian Beyer, Todd A. Oliynyk
We establish the existence of a stable family of solutions to the Euler equations on Kasner backgrounds near the singularity with the full expected asymptotic data degrees of freed…
Stabilizing relativistic fluids on spacetimes with non-accelerated expansion
David Fajman, Todd A. Oliynyk, Zoe Wyatt
We establish global regularity and stability for the irrotational relativistic Euler equations with equation of state , where , for small initial…
Future global stability for relativistic perfect fluids with linear equations of state where
Todd A. Oliynyk
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 on expon…