Jonathan W. Luk, Ph.D.
Affiliations: | 2012 | Mathematics | Princeton University, Princeton, NJ |
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"Jonathan Luk"Parents
Sign in to add mentor| Igor Rodnianski | grad student | 2012 | Princeton | |
| (Linear and nonlinear wave equations on black hole spacetimes.) | ||||
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Publications
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| Holzegel G, Luk J, Smulevici J, et al. (2020) Asymptotic Properties of Linear Field Equations in Anti-de Sitter Space. Communications in Mathematical Physics. 374: 1125-1178 |
| Luk J, Oh S. (2019) Strong cosmic censorship in spherical symmetry for two-ended asymptotically flat initial data I. The interior of the black hole region Annals of Mathematics. 190: 1-111 |
| Gajic D, Luk J. (2019) The interior of dynamical extremal black holes in spherical symmetry Arxiv: General Relativity and Quantum Cosmology. 1: 263-326 |
| Huneau C, Luk J. (2018) High-frequency backreaction for the Einstein equations under polarized $\mathbb{U}(1)$-symmetry Duke Mathematical Journal. 167: 3315-3402 |
| Luk J, Speck J. (2018) Shock formation in solutions to the 2 D compressible Euler equations in the presence of non-zero vorticity Inventiones Mathematicae. 214: 1-169 |
| Huneau C, Luk J. (2018) Einstein Equations Under Polarized $${\mathbb{U}}$$ U (1) Symmetry in an Elliptic Gauge Communications in Mathematical Physics. 361: 873-949 |
| Luk J, Oh S. (2017) Proof of linear instability of the Reissner–Nordström Cauchy horizon under scalar perturbations Duke Mathematical Journal. 166: 437-493 |
| Luk J. (2017) Weak null singularities in general relativity Journal of the American Mathematical Society. 31: 1-63 |
| Luk J, Sbierski J. (2016) Instability results for the wave equation in the interior of Kerr black holes Journal of Functional Analysis. 271: 1948-1995 |
| Speck J, Holzegel G, Luk J, et al. (2016) Stable Shock Formation for Nearly Simple Outgoing Plane Symmetric Waves Arxiv: Analysis of Pdes. 2: 10 |