48 citations · 147 across the 17 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…
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…
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…
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 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…
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…