308 citations · 2.2k across the 72 of their papers we have counts for
77 papers
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…
Quasilinear wave equations on Kerr black holes in the full subextremal range
Mihalis Dafermos, Gustav Holzegel, Igor Rodnianski +1
We prove global existence, boundedness and decay for small data solutions to a general class of quasilinear wave equations on Kerr black hole backgrounds in the full sub-extrem…
The stability of irrotational shocks and the Landau law of decay
Daniel Ginsberg, Igor Rodnianski
We consider the long-time behavior of irrotational solutions of the three-dimensional compressible Euler equations with shocks, hypersurfaces of discontinuity across which the Rank…
Well-posedness of a gauge-covariant wave equation with space-time white noise forcing
Bjoern Bringmann, Igor Rodnianski
We first introduce a new model for a two-dimensional gauge-covariant wave equation with space-time white noise. In our main theorem, we obtain the probabilistic global well-posedne…
Quasilinear wave equations on asymptotically flat spacetimes with applications to Kerr black holes
Mihalis Dafermos, Gustav Holzegel, Igor Rodnianski +1
We prove global existence and decay for small-data solutions to a class of quasilinear wave equations on a wide variety of asymptotically flat spacetime backgrounds, allowing in pa…
Obstruction-free gluing for the Einstein equations
Stefan Czimek, Igor Rodnianski
In this paper we develop a new approach to the gluing problem in General Relativity, that is, the problem of matching two solutions of the Einstein equations along a spacelike or c…