Zobrazeno 1 - 10
of 57
pro vyhledávání: '"Wyatt, Zoe"'
We demonstrate a novel phase transition from stable to unstable fluid behaviour for fluid-filled cosmological spacetimes undergoing decelerated expansion. This transition occurs when the fluid speed of sound $c_S$ exceeds a critical value relative to
Externí odkaz:
http://arxiv.org/abs/2405.03431
In this paper we show the classical global stability of the flat Kaluza-Klein spacetime, which corresponds to Minkowski spacetime in $\m R^{1+4}$ with one direction compactified on a circle. We consider small perturbations which are allowed to vary i
Externí odkaz:
http://arxiv.org/abs/2307.15267
Publikováno v:
Int. Math. Res. Not. 2024 (2024), 4328-4383
In this paper we study cosmological solutions to the Einstein--Euler equations. We first establish the future stability of nonlinear perturbations of a class of homogeneous solutions to the relativistic Euler equations on fixed linearly expanding cos
Externí odkaz:
http://arxiv.org/abs/2301.11191
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, which in particular implies that the expansion rate of the respective mod
Externí odkaz:
http://arxiv.org/abs/2107.00457
Autor:
Dong, Shijie, Wyatt, Zoe
We study the Dirac--Klein-Gordon system in $1+2$ spacetime dimensions. We show global existence of the solutions, as well as sharp time decay and linear scattering. One key advance is that we provide the first asymptotic stability result for the Dira
Externí odkaz:
http://arxiv.org/abs/2105.13780
Autor:
Dong, Shijie, Wyatt, Zoe
We are interested in the stability of a class of totally geodesic wave maps, as recently studied by Abbrescia and Chen, and later by Duan and Ma. The relevant equations of motion are a system of coupled semilinear wave and Klein-Gordon equations in $
Externí odkaz:
http://arxiv.org/abs/2103.05318
Autor:
Dong, Shijie, Wyatt, Zoe
From the work on the weak-null condition by Lindblad and Rodnianski, it is well-known that `bad' quadratic sourcing terms are allowed to appear in coupled semilinear wave equations in three spatial dimensions, provided that such terms appear as sourc
Externí odkaz:
http://arxiv.org/abs/2011.11990
Publikováno v:
Analysis & PDE 16 (2023) 2079-2107
This paper proves the stability, with respect to the evolution determined by the vacuum Einstein equations, of the Cartesian product of high-dimensional Minkowski space with a compact, Ricci-flat Riemannian manifold that admits a spin structure and a
Externí odkaz:
http://arxiv.org/abs/2006.00824
Publikováno v:
Commun. Math. Phys. 383, 401-426 (2021)
We establish global regularity and stability for the irrotational relativistic Euler equations with equation of state $\overline{p}=K\overline{\rho}$, where $0
Externí odkaz:
http://arxiv.org/abs/2002.02119
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