Author pages are created from data sourced from our academic publisher partnerships and public sources.

Publications Influence

Share This Author

Lectures on black holes and linear waves

- Mihalis Dafermos, I. Rodnianski
- Physics
- 3 November 2008

These lecture notes, based on a course given at the Zurich Clay Summer School (June 23-July 18, 2008), review our current mathematical understanding of the global behaviour of waves on black hole… Expand

The red‐shift effect and radiation decay on black hole spacetimes

- Mihalis Dafermos, I. Rodnianski
- Mathematics
- 21 December 2005

We consider solutions to the linear wave equation □gϕ = 0 on a (maximally extended) Schwarzschild spacetime with parameter M > 0, evolving from sufficiently regular initial data prescribed on a… Expand

The global stability of Minkowski space-time in harmonic gauge

- Hans Lindblad, I. Rodnianski
- Mathematics
- 5 November 2004

We give a new proof of the global stability of Minkowski space originally established in the vacuum case by Christodoulou and Klainerman. The new approach, which relies on the classical harmonic… Expand

Stable blow up dynamics for the critical co-rotational wave maps and equivariant Yang-Mills problems

- P. Raphaël, I. Rodnianski
- Mathematics
- 3 November 2009

We exhibit stable finite time blow up regimes for the energy critical co-rotational Wave Map with the S2 target in all homotopy classes and for the critical equivariant SO(4) Yang-Mills problem. We… Expand

Quantum Fluctuations and Rate of Convergence Towards Mean Field Dynamics

- I. Rodnianski, B. Schlein
- Mathematics, Physics
- 20 November 2007

The nonlinear Hartree equation describes the macroscopic dynamics of initially factorized N-boson states, in the limit of large N. In this paper we provide estimates on the rate of convergence of the… Expand

Time decay for solutions of Schrödinger equations with rough and time-dependent potentials

- I. Rodnianski, W. Schlag
- Mathematics
- 9 October 2001

In this paper we establish dispersive estimates for solutions to the linear Schrödinger equation in three dimensions 0.1$$\frac{1}{i}\partial_t \psi - \triangle \psi + V\psi = 0,\qquad \psi(s)=f$$… Expand

The linear stability of the Schwarzschild solution to gravitational perturbations

- Mihalis Dafermos, G. Holzegel, I. Rodnianski
- Mathematics, PhysicsActa Mathematica
- 25 January 2016

We prove in this paper the linear stability of the celebrated Schwarzschild family of black holes in general relativity: Solutions to the linearisation of the Einstein vacuum equations around a… Expand

Global Existence for the Einstein Vacuum Equations in Wave Coordinates

- Hans Lindblad, I. Rodnianski
- Mathematics, Physics
- 29 December 2003

We prove global stability of Minkowski space for the Einstein vacuum equations in harmonic (wave) coordinate gauge for the set of restricted data coinciding with the Schwarzschild solution in the… Expand

A new physical-space approach to decay for the wave equation with applications to black hole spacetimes

- Mihalis Dafermos, I. Rodnianski
- Physics, Mathematics
- 26 October 2009

We present a new general method for proving global decay of energy through a suitable spacetime foliation, as well as pointwise decay, starting from an integrated local energy decay estimate. The… Expand

A proof of Price’s law for the collapse of a self-gravitating scalar field

- Mihalis Dafermos, I. Rodnianski
- Mathematics
- 23 September 2003

A well-known open problem in general relativity, dating back to 1972, has been to prove Price’s law for an appropriate model of gravitational collapse. This law postulates inverse-power decay rates… Expand

...

1

2

3

4

5

...