5 citations · 5 across the 3 of their papers we have counts for
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Matching conditions for scattering solutions of scalar wave equations on extremal Reissner-Nordström spacetimes
Yannis Angelopoulos, Istvan Kadar
We study scattering solutions of the linear wave equation on extremal Reissner-Nordström spacetimes, satisfying the following properties: i) attains a prescribed radiation…
Semilinear wave equations on extremal Reissner-Nordström black holes revisited
Yannis Angelopoulos, Ryan Unger
We revisit global existence and decay for small-data solutions of semilinear wave equations on extremal Reissner-Nordström black hole backgrounds satisfying the classical null cond…
Instability results for transonic flows past airfoils
Yannis Angelopoulos
In this short note we present an instability result for transonic flows with respect to perturbations of the Mach number at infinity. More specifically we show that a perturbation…
Semi-global constructions of spacetimes containing curvature singularities
Yannis Angelopoulos
We construct semi-global -dimensional Lorentzian spacetimes satisfying the Einstein vacuum equations that contain curvature singularities that are propagated all the way up…
A non-degenerate scattering theory for the wave equation on extremal Reissner-Nordstrom
Yannis Angelopoulos, Stefanos Aretakis, Dejan Gajic
It is known that sub-extremal black hole backgrounds do not admit a (bijective) non-degenerate scattering theory in the exterior region due to the fact that the redshift effect at…
Nonlinear scalar perturbations of extremal Reissner-Nordström spacetimes
Yannis Angelopoulos, Stefanos Aretakis, Dejan Gajic
We present the first rigorous study of nonlinear wave equations on extremal black hole spacetimes without any symmetry assumptions on the solution. Specifically, we prove global ex…