Rodnianski, Igor
- The non-linear stability of the Schwarzschild family of black holes
2021/04/16 by Mihalis Dafermos, Gustav Holzegel, Dafermos, Mihalis +5 · 7 citations
Physics and Astronomy · #Analysis of PDEs (math.AP) #Astrophysical Phenomena and Observations #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Mathematical Physics (math-ph)
- On blow up for the energy super critical defocusing non linear Schrödinger equations
2019/12/23 by Merle, Frank, Raphael, Pierre, Rodnianski, Igor +1 · 4 citations
#35Q55 #Analysis of PDEs (math.AP) #FOS: Mathematics
- The Asymptotically Self-Similar Regime for the Einstein Vacuum Equations
2017/05/26 by Igor Rodnianski, Yakov Shlapentokh-Rothman, Rodnianski, Igor +1 · 3 citations
Physics and Astronomy · #Analysis of PDEs (math.AP) #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Mathematical Physics (math-ph) #Relativity and Gravitational Theory
- The global stability of the Minkowski space-time in harmonic gauge
2004/11/05 by Lindblad, Hans, Rodnianski, Igor · 2 citations
#Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Mathematical Physics (math-ph)
- Quantum Fluctuations and Rate of Convergence towards Mean Field Dynamics
2007/11/20 by Rodnianski, Igor, Schlein, Benjamin · 2 citations
#35Q40 #35Q55 #81V70 #82C10 #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph)
- Type II blow up for the energy supercritical NLS
2014/07/05 by Merle, Frank, Raphael, Pierre, Rodnianski, Igor · 2 citations
#Analysis of PDEs (math.AP) #FOS: Mathematics
- Decay for solutions of the wave equation on Kerr exterior spacetimes III: The full subextremal case |a| < M
2014/02/27 by Dafermos, Mihalis, Rodnianski, Igor, Shlapentokh-Rothman, Yakov · 2 citations
#Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Mathematical Physics (math-ph)
- Landau damping for analytic and Gevrey data
2020/04/13 by Grenier, Emmanuel, Nguyen, Toan T., Rodnianski, Igor · 2 citations
#Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph)
- Does a quantum particle know the time?
1997/11/25 by Lev Kapitanski, Igor Rodnianski, Kapitanski, Lev +1 · 1 citation
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Quantum chaos and dynamical systems #Spectral Theory in Mathematical Physics #quant-ph
- The characteristic gluing problem for the Einstein equations and applications
2021/07/06 by Aretakis, Stefanos, Czimek, Stefan, Rodnianski, Igor · 2 citations
#Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Mathematical Physics (math-ph)
- Angular Regularity and Strichartz Estimates for the Wave Equation
2004/02/12 by Jacob Sterbenz, Sterbenz, Jacob, Igor Rodnianski +1 · 1 citation
Mathematics · #35L05 #Analysis of PDEs (math.AP) #FOS: Mathematics #math.AP #msc:35L05
- A note on boundary value problems for black hole evolutions
2004/03/08 by Mihalis Dafermos, Dafermos, Mihalis, Igor Rodnianski +1 · 1 citation
Physics and Astronomy · #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #gr-qc
- Obstruction-free gluing for the Einstein equations
2022/10/18 by Czimek, Stefan, Rodnianski, Igor · 2 citations
#Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Mathematical Physics (math-ph)
- Decay for solutions of the wave equation on Kerr exterior spacetimes I-II: The cases |a| << M or axisymmetry
2010/10/25 by Dafermos, Mihalis, Rodnianski, Igor · 1 citation
#Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc)
- Effective limiting absorption principles, and applications
2011/05/04 by Igor Rodnianski, Rodnianski, Igor, Terence Tao +1 · 1 citation
Mathematics · #35J10 #35L05 #35Q41 #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Numerical methods in inverse problems #Spectral Theory in Mathematical Physics
- Stable Big Bang Formation in Near-FLRW Solutions to the Einstein-Scalar Field and Einstein-Stiff Fluid Systems
2014/07/23 by Rodnianski, Igor, Speck, Jared · 1 citation
#35Q31 #35Q76 #83C05 #83C75 #83F05 #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Primary: 35A01 #Secondary: 35L51
- The characteristic gluing problem for the Einstein vacuum equations. Linear and non-linear analysis
2021/07/06 by Aretakis, Stefanos, Czimek, Stefan, Rodnianski, Igor · 1 citation
#Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Mathematical Physics (math-ph)
- Characteristic gluing to the Kerr family and application to spacelike gluing
2021/07/06 by Aretakis, Stefanos, Czimek, Stefan, Rodnianski, Igor · 1 citation
#Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Mathematical Physics (math-ph)
- Quasilinear wave equations on Kerr black holes in the full subextremal range |a|
2024/10/04 by Dafermos, Mihalis, Holzegel, Gustav, Rodnianski, Igor +1 · 2 citations
#Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Mathematical Physics (math-ph)
- On the implosion of a three dimensional compressible fluid
2019/12/23 by Frank Merle, Pierre Raphaël, Merle, Frank +5 · 1 citation
Earth and Planetary Sciences · Engineering · Mathematics · #35Q35 #Analysis of PDEs (math.AP) #Aquatic and Environmental Studies #Computational Fluid Dynamics and Aerodynamics #FOS: Mathematics #Navier-Stokes equation solutions
- The stability of irrotational shocks and the Landau law of decay
2024/03/20 by Ginsberg, Daniel, Rodnianski, Igor · 1 citation
#Analysis of PDEs (math.AP) #FOS: Mathematics