Igor Rodnianski
- Time decay for solutions of Schr�dinger equations with rough and time-dependent potentials
2004/02/20 by Igor Rodnianski, Wilhelm Schlag · 36 citations
Mathematics · #Advanced Mathematical Physics Problems #Mathematical Analysis and Transform Methods #Spectral Theory in Mathematical Physics
- On the formation of singularities in the critical O (3) σ -model
2010/06/27 by Igor Rodnianski, Jacob Sterbenz · 10 citations
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Black Holes and Theoretical Physics #Nonlinear Waves and Solitons
- On the breakdown criterion in General Relativity
2008/01/11 by Sergiù Klainerman, Klainerman, S., Igor Rodnianski +1 · 5 citations
Physics and Astronomy · Mathematics · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Geometric Analysis and Curvature Flows
- 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)
- The Asymptotically Self-Similar Regime for the Einstein Vacuum Equations
2017/05/26 by Igor Rodnianski, Rodnianski, Igor, Yakov Shlapentokh-Rothman +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
- 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
- Dispersive analysis of the charge transfer models
2003/09/05 by I. Rodnianski, Igor Rodnianski, W. Schlag +6 · 1 citation
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Nonlinear Photonic Systems #Spectral Theory in Mathematical Physics #math-ph #math.AP #math.MP
- Angular Regularity and Strichartz Estimates for the Wave Equation
2004/02/12 by Jacob Sterbenz, Igor Rodnianski, Sterbenz, Jacob +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
- On the formation of trapped surfaces
2009/12/29 by Sergiù Klainerman, Igor Rodnianski, Klainerman, S. +1 · 1 citation
Mathematics · Physics and Astronomy · #Analysis of PDEs (math.AP) #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Mathematics #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Geometric Analysis and Curvature Flows #Mathematical Physics (math-ph)
- 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
- 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