Zobrazeno 1 - 10
of 112
pro vyhledávání: '"Szeftel, Jeremie"'
Autor:
Ma, Siyuan, Szeftel, Jérémie
In this paper, we prove energy and Morawetz estimates for solutions to the scalar wave equation in spacetimes with metrics that are perturbations, compatible with nonlinear applications, of Kerr metrics in the full subextremal range. Central to our a
Externí odkaz:
http://arxiv.org/abs/2410.02341
We construct initial data suitable for the Kerr stability conjecture, that is, solutions to the constraint equations on a spacelike hypersurface with boundary entering the black hole horizon that are arbitrarily decaying perturbations of a Kerr initi
Externí odkaz:
http://arxiv.org/abs/2405.02071
We construct and parametrize solutions to the constraint equations of general relativity in a neighborhood of Minkowski spacetime with arbitrary prescribed decay properties at infinity. We thus provide a large class of initial data for the results on
Externí odkaz:
http://arxiv.org/abs/2401.14353
Autor:
Klainerman, Sergiu, Szeftel, Jeremie
This a brief introduction to the sequence of works \cite{KS:Kerr}, \cite{GKS-2022}, \cite{KS-GCM1}, \cite{KS-GCM2} and \cite{Shen} which establish the nonlinear stability of Kerr black holes with small angular momentum. We are delighted to dedicate t
Externí odkaz:
http://arxiv.org/abs/2210.14400
This is the last part of our proof of the nonlinear stability of the Kerr family for small angular momentum, i.e $|a|/m\ll 1$, in which we deal with the nonlinear wave type estimates needed to complete the project. More precisely we provide complete
Externí odkaz:
http://arxiv.org/abs/2205.14808
Autor:
Klainerman, Sergiu, Szeftel, Jeremie
This is our main paper in a series in which we prove the full, unconditional, nonlinear stability of the Kerr family $Kerr(a, m)$ for small angular momentum, i.e. $|a|/m\ll 1$, in the context of asymptotically flat solutions of the Einstein vacuum eq
Externí odkaz:
http://arxiv.org/abs/2104.11857
The goal of this paper is to provide a geometric framework for analyzing the uniform decay properties of solutions to the Teukolsky equation in the fully nonlinear setting of perturbations of Kerr. It contains the first nonlinear version of the Chand
Externí odkaz:
http://arxiv.org/abs/2002.02740
Autor:
Klainerman, Sergiu, Szeftel, Jeremie
This is a follow-up of our paper \cite{KS-Kerr1} on the construction of general covariant modulated (GCM) spheres in perturbations of Kerr, which we expect to play a central role in establishing their nonlinear stability. We reformulate the main resu
Externí odkaz:
http://arxiv.org/abs/1912.12195
We consider the energy supercritical defocusing nonlinear Schr\"odinger equation $i\partial_tu+\Delta u-u|u|^{p-1}=0$ in dimension $d\ge 5$. In a suitable range of energy supercritical parameters $(d,p)$, we prove the existence of $\mathcal C^\infty$
Externí odkaz:
http://arxiv.org/abs/1912.11005
We consider the barotropic Euler equations in dimension d>1 with decaying density at spatial infinity. The phase portrait of the nonlinear ode governing the equation for spherically symmetric self-similar solutions has been introduced in the pioneeri
Externí odkaz:
http://arxiv.org/abs/1912.10998