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Quasinormal Modes and Strong Cosmic Censorship.
The fate of Cauchy horizons, such as those found inside charged black holes, is intrinsically connected to the decay of small perturbations exterior to the event horizon. As such, the validity of theExpand
The global non-linear stability of the Kerr-de Sitter family of black holes
We establish the full global non-linear stability of the Kerr-de Sitter family of black holes, as solutions of the initial value problem for the Einstein vacuum equations with positive cosmologicalExpand
Semilinear wave equations on asymptotically de Sitter, Kerr–de Sitter and Minkowski spacetimes
In this paper we show the small data solvability of suitable semilinear wave and Klein-Gordon equations on geometric classes of spaces, which include so-called asymptotically de Sitter and Kerr-deExpand
Instability of thermocapillary buoyancy convection in shallow layers. Part 2. Suppression of hydrothermal waves
Hydrothermal-wave instabilities in thermocapillary convection are known to produce undesirable effects when they occur during the float-zone crystal-growth process, and perhaps in other situations.Expand
Analysis of linear waves near the Cauchy horizon of cosmological black holes
We show that linear scalar waves are bounded and continuous up to the Cauchy horizon of Reissner-Nordstrom-de Sitter and Kerr-de Sitter spacetimes, and in fact decay exponentially fast to a constantExpand
A global analysis proof of the stability of Minkowski space and the polyhomogeneity of the metric
We first give a new proof of the non-linear stability of the $(3+1)$-dimensional Minkowski spacetime as a solution of the Einstein vacuum equation. We then show that the metric admits a fullExpand
Non-linear Stability of the Kerr–Newman–de Sitter Family of Charged Black Holes
  • P. Hintz
  • Mathematics, Physics
  • 14 December 2016
We prove the global non-linear stability, without symmetry assumptions, of slowly rotating charged black holes in de Sitter spacetimes in the context of the initial value problem for theExpand
Convection in a Czochralski crucible – Part 1: non-rotating crystal
Abstract A Czochralski melt is simulated in a model experiment and by numerical analysis. We use a transparent fluid (0.65 cSt silicone oil with Pr=6.8) which is contained in a transparent sapphireExpand
Global Analysis of Quasilinear Wave Equations on Asymptotically Kerr-de Sitter Spaces
We consider quasilinear wave equations on manifolds for which infinity has a structure generalizing that of Kerr-de Sitter space; in particular the trapped geodesics form a normally hyperbolicExpand
Resolvents and complex powers of semiclassical cone operators
  • P. Hintz
  • Physics, Mathematics
  • 4 October 2020
We give a uniform description of resolvents and complex powers of elliptic semiclassical cone differential operators as the semiclassical parameter $h$ tends to $0$. An example of such an operator isExpand