45 citations · 132 across the 10 of their papers we have counts for
12 papers
Weakly turbulent dynamics on Schwarzschild-AdS black hole spacetimes
Christoph Kehle, Georgios Moschidis
In the presence of confinement, small-data solutions to nonlinear dispersive equations can exhibit a gradual energy transfer from low to high frequencies, a mechanism driving the e…
On well-posedness for the timelike minimal surface equation
Georgios Moschidis, Igor Rodnianski
We obtain improved local well-posedness results for the Lorentzian timelike minimal surface equation. In dimension , for a surface of arbitrary co-dimension, we show a gain of…
On the non-existence of trapped surfaces under low-regularity bounds
Jonathan Luk, Georgios Moschidis
The emergence of trapped surfaces in solutions to the Einstein field equations is intimately tied to the well-posedness properties of the corresponding Cauchy problem in the low re…
The dimensional Brunn-Minkowski inequality in Gauss space
Alexandros Eskenazis, Georgios Moschidis
Let be the standard Gaussian measure on . We prove that for every symmetric convex sets in and every , $$γ_n(λK+(1-λ)L)^{\frac{1…
The characteristic initial-boundary value problem for the Einstein--massless Vlasov system in spherical symmetry
Georgios Moschidis
In this paper, we initiate the study of the asymptotically AdS initial-boundary value problem for the Einstein-massless Vlasov system with in spherical symmetry. We will esta…
A proof of the instability of AdS for the Einstein--massless Vlasov system
Georgios Moschidis
In recent years, the AdS instability conjecture, put forward by Dafermos-Holzegel in 2006, has attracted a substantial amount of numerical and heuristic studies. Following the pion…
The Einstein--null dust system in spherical symmetry with an inner mirror: structure of the maximal development and Cauchy stability
Georgios Moschidis
In this paper, we study the evolution of asymptotically AdS initial data for the spherically symmetric Einstein--massless Vlasov system for , with reflecting boundary conditio…
A proof of the instability of AdS for the Einstein--null dust system with an inner mirror
Georgios Moschidis
In 2006, Dafermos and Holzegel formulated the so-called AdS instability conjecture, stating that there exist arbitrarily small perturbations to AdS initial data which, under evolut…
Superradiant instabilities for short-range non-negative potentials on Kerr spacetimes and applications
Georgios Moschidis
The wave equation on subextremal Kerr spacetimes , , does not admit real mode solutions, as was established by Shlapent…
A proof of Friedman's ergosphere instability for scalar waves
Georgios Moschidis
Let be a real analytic, stationary and asymptotically flat spacetime with a non-empty ergoregion and no future event horizon …
Logarithmic local energy decay for scalar waves on a general class of asymptotically flat spacetimes
Georgios Moschidis
This paper establishes that on the domain of outer communications of a general class of stationary and asymptotically flat Lorentzian manifolds of dimension , , the loc…
The -weighted energy method of Dafermos and Rodnianski in general asymptotically flat spacetimes and applications
Georgios Moschidis
In [M. Dafermos and I. Rodnianski, A new physical-space approach to decay for the wave equation with applications to black hole spacetimes, in XVIth International Congress on Mathe…