8 citations · 8 across the 3 of their papers we have counts for
5 papers
Stability of fluids in spacetimes with decelerated expansion
David Fajman, Maximilian Ofner, Todd Oliynyk +1
We prove the nonlinear stability of homogeneous barotropic perfect fluid solutions in fixed cosmological spacetimes undergoing decelerated expansion. The results hold provided a sp…
Phase transition between shock formation and stability in cosmological fluids
David Fajman, Maciej Maliborski, Maximilian Ofner +2
We demonstrate a novel phase transition from stable to unstable fluid behaviour for fluid-filled cosmological spacetimes undergoing decelerated expansion. This transition occurs wh…
Slowly expanding stable dust spacetimes
David Fajman, Maximilian Ofner, Zoe Wyatt
We establish the future nonlinear stability of a large class of FLRW models as solutions to the Einstein-Dust system. We consider the case of a vanishing cosmological constant, whi…
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…
Global evolution of the U(1) Higgs Boson: nonlinear stability and uniform energy bounds
Shijie Dong, Philippe G. LeFloch, Zoe Wyatt
Relying on the hyperboloidal foliation method, we establish the nonlinear stability of the ground state of the standard model of electroweak interactions. This amounts to es…