48 citations · 147 across the 17 of their papers we have counts for
21 papers
The moduli space of dynamical spherically symmetric black hole spacetimes and the extremal threshold
Yannis Angelopoulos, Christoph Kehle, Ryan Unger
In this paper, we give a complete description of the black hole threshold, locally near the Reissner-Nordström family, in the infinite-dimensional moduli space of dyn…
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…
Nonlinear stability of extremal Reissner-Nordström black holes in spherical symmetry
Yannis Angelopoulos, Christoph Kehle, Ryan Unger
In this paper, we prove the codimension-one nonlinear asymptotic stability of the extremal Reissner-Nordström family of black holes in the spherically symmetric Einstein-Maxwell-ne…
Supersonic flow past an airfoil
Yannis Angelopoulos
We consider a supersonic flow past an airfoil in the context of the steady, isentropic and irrotational compressible Euler equations. We show that for appropriate data, either a sh…
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…
Price's law and precise late-time asymptotics for subextremal Reissner-Nordström black holes
Yannis Angelopoulos, Stefanos Aretakis, Dejan Gajic
In this paper, we prove precise late-time asymptotics for solutions to the wave equation supported on angular frequencies greater or equal to on the domain of outer communic…
Late-time tails and mode coupling of linear waves on Kerr spacetimes
Yannis Angelopoulos, Stefanos Aretakis, Dejan Gajic
We provide a rigorous derivation of the precise late-time asymptotics for solutions to the scalar wave equation on subextremal Kerr backgrounds, including the asymptotics for proje…
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…
Horizon hair of extremal black holes and measurements at null infinity
Yannis Angelopoulos, Stefanos Aretakis, Dejan Gajic
It is shown that the conserved charges on the event horizon and the Cauchy horizon associated to scalar perturbations on extremal black holes are externally measurable from null in…
Invariant measures for integrable spin chains and integrable discrete NLS
Yannis Angelopoulos, Rowan Killip, Monica Visan
We consider discrete analogues of two well-known open problems regarding invariant measures for dispersive PDE, namely, the invariance of the Gibbs measure for the continuum (class…
Late-time asymptotics for the wave equation on extremal Reissner-Nordström backgrounds
Yannis Angelopoulos, Stefanos Aretakis, Dejan Gajic
We derive the precise late-time asymptotics for solutions to the wave equation on extremal Reissner-Nordström black holes and explicitly express the leading-order coefficients in t…
Logarithmic corrections in the asymptotic expansion for the radiation field along null infinity
Yannis Angelopoulos, Stefanos Aretakis, Dejan Gajic
We obtain the second-order asymptotics for the radiation field of spherically symmetric solutions to the wave equation on spherically symmetric and asymptotically flat backgrounds…
Late-time asymptotics for the wave equation on spherically symmetric, stationary spacetimes
Yannis Angelopoulos, Stefanos Aretakis, Dejan Gajic
We derive precise late-time asymptotics for solutions to the wave equation on spherically symmetric, stationary and asymptotically flat spacetimes including as special cases the Sc…
A vector field approach to almost-sharp decay for the wave equation on spherically symmetric, stationary spacetimes
Yannis Angelopoulos, Stefanos Aretakis, Dejan Gajic
We present a new vector field approach to almost-sharp decay for the wave equation on spherically symmetric, stationary and asymptotically flat spacetimes. Specifically, we derive…
Asymptotic blow-up for a class of semilinear wave equations on extremal Reissner-Nordström spacetimes
Yannis Angelopoulos, Stefanos Aretakis, Dejan Gajic
We prove small data global existence for a class of semilinear wave equations satisfying the null condition on extremal Reissner-Nordstrom black hole backgrounds with nonlinear ter…
The trapping effect on degenerate horizons
Yannis Angelopoulos, Stefanos Aretakis, Dejan Gajic
We show that degenerate horizons exhibit a new trapping effect. Specifically, we obtain a non-degenerate Morawetz estimate for the wave equation in the domain of outer communicatio…
Nonlinear Wave Equations With Null Condition On Extremal Reissner-Nordström Spacetimes I: Spherical Symmetry
Yannis Angelopoulos
We study spherically symmetric solutions of semilinear wave equations in the case where the nonlinearity satisfies the null condition on extremal Reissner--Nordstrom black hole spa…
Well-posedness and ill-posedness results for the Novikov-Veselov equation
Yannis Angelopoulos
In this paper we study the Novikov-Veselov equation and the related modified Novikov-Veselov equation in certain Sobolev spaces. We prove local well-posedness in H^s (R2) for s > 1…