35 citations · 218 across the 27 of their papers we have counts for
5 papers · 1 filter
Effective results on uniformization and intrinsic GCM spheres in perturbations of Kerr
Sergiu Klainerman, Jeremie Szeftel
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 i…
On blow up for the energy super critical defocusing non linear Schrödinger equations
Frank Merle, Pierre Raphael, Igor Rodnianski +1
We consider the energy supercritical defocusing nonlinear Schrödinger equation in dimension . In a suitable range of energy supercritical par…
On smooth self similar solutions to the compressible Euler equations
Frank Merle, Pierre Raphael, Igor Rodnianski +1
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 sphericall…
On the implosion of a three dimensional compressible fluid
Frank Merle, Pierre Raphael, Igor Rodnianski +1
We consider the compressible three dimensional Navier Stokes and Euler equations. In a suitable regime of barotropic laws, we construct a set of finite energy smooth initial data f…
Constructions of GCM spheres in perturbations of Kerr
Sergiu Klainerman, Jeremie Szeftel
This the first in a series of papers whose ultimate goal is to establish the full nonlinear stability of the Kerr family for . The paper builds on the strategy laid out i…