Jonathan Luk
- The interior of dynamical vacuum black holes I: The C0-stability of the Kerr Cauchy horizon
2017/10/04 by Mihalis Dafermos, Dafermos, Mihalis, Jonathan Luk +1 · 14 citations
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #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)
- Shock formation in solutions to the 2D compressible Euler equations in\n the presence of non-zero vorticity
2016/10/03 by Jonathan Luk, Jared Speck, Luk, Jonathan +1 · 8 citations
Earth and Planetary Sciences · Mathematics · #35Q31 #76N10 #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Geophysics and Gravity Measurements #Mathematical Physics (math-ph) #Navier-Stokes equation solutions #Oceanographic and Atmospheric Processes #Primary: 35L67 #Secondary: 35L05
- On the Local Existence for the Characteristic Initial Value Problem in\n General Relativity
2011/07/05 by Jonathan Luk, Luk, Jonathan · 5 citations
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) #Mathematical Physics (math-ph) #Relativity and Gravitational Theory
- Strong cosmic censorship in spherical symmetry for two-ended asymptotically flat initial data II. The exterior of the black hole region
2017/02/19 by Jonathan Luk, Sung‐Jin Oh, Luk, Jonathan +1 · 4 citations
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) #Mathematical Physics (math-ph) #Navier-Stokes equation solutions
- Instability results for the wave equation in the interior of Kerr black holes
2015/12/27 by Jonathan Luk, Jan Sbierski, Luk, Jonathan +1 · 2 citations
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #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)
- The Vlasov--Poisson--Landau system in the weakly collisional regime
2021/04/12 by Sanchit Chaturvedi, Jonathan Luk, Chaturvedi, Sanchit +3 · 2 citations
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #Cold Atom Physics and Bose-Einstein Condensates #FOS: Mathematics #FOS: Physical sciences #Gas Dynamics and Kinetic Theory #Mathematical Physics (math-ph)
- Nonlinear interaction of impulsive gravitational waves for the vacuum\n Einstein equations
2013/01/06 by Jonathan Luk, Luk, Jonathan, Igor Rodnianski +1 · 1 citation
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #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) #Mathematical Physics (math-ph)
- Trapped surfaces in vacuum arising dynamically from mild incoming radiation
2014/09/22 by Xinliang An, Jonathan Luk, An, Xinliang +1 · 1 citation
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) #Mathematical Physics (math-ph) #Quantum Electrodynamics and Casimir Effect
- Burnett's conjecture in generalized wave coordinates
2024/03/06 by Cécile Huneau, Jonathan Luk, Huneau, Cécile +1 · 1 citation
Engineering · Physics and Astronomy · Earth and Planetary Sciences · #Elasticity and Wave Propagation #Electromagnetic Scattering and Analysis #Ocean Waves and Remote Sensing