Edit Profile (opens in new tab) Luk, Jonathan Co-Author Distance Author ID: luk.jonathan Published as: Luk, Jonathan Documents Indexed: 40 Publications since 2010, including 8 Additional arXiv Preprints Co-Authors: 20 Co-Authors with 34 Joint Publications 173 Co-Co-Authors all top 5 Co-Authors 6 single-authored 8 Oh, Sung-Jin 4 Huneau, Cécile 4 Rodnianski, Igor 4 Speck, Jared 3 Strain, Robert M. 2 Chaturvedi, Sanchit 2 Holzegel, Gustav 2 Van de Moortel, Maxime 2 Yang, Shiwu 1 An, Xinliang 1 Dafermos, Mihalis 1 Fournodavlos, Grigorios 1 Gajic, Dejan 1 Klainerman, Sergiu 1 Moschidis, Georgios 1 Sbierski, Jan J. 1 Shlapentokh-Rothman, Yakov 1 Smulevici, Jacques 1 Warnick, Claude M. 1 Wong, Willie Wai-Yeung all top 5 Serials 5 Annals of PDE 3 Communications in Mathematical Physics 3 Annales Henri Poincaré 2 Duke Mathematical Journal 2 Inventiones Mathematicae 2 Journal of the American Mathematical Society 2 Analysis & PDE 1 Archive for Rational Mechanics and Analysis 1 Communications on Pure and Applied Mathematics 1 American Journal of Mathematics 1 Journal of Functional Analysis 1 IMRN. International Mathematics Research Notices 1 Advances in Theoretical and Mathematical Physics 1 Annals of Mathematics. Second Series 1 Journal of the European Mathematical Society (JEMS) 1 Journal of Hyperbolic Differential Equations 1 Kinetic and Related Models 1 Cambridge Journal of Mathematics 1 Pure and Applied Analysis all top 5 Fields 30 Partial differential equations (35-XX) 23 Relativity and gravitational theory (83-XX) 6 Differential geometry (53-XX) 4 Fluid mechanics (76-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Real functions (26-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Optics, electromagnetic theory (78-XX) 1 Quantum theory (81-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 31 Publications have been cited 587 times in 319 Documents Cited by ▼ Year ▼ Shock formation in solutions to the \(2D\) compressible Euler equations in the presence of non-zero vorticity. Zbl 1409.35142 Luk, Jonathan; Speck, Jared 51 2018 Strong cosmic censorship in spherical symmetry for two-ended asymptotically flat initial data. I: The interior of the black hole region. Zbl 1429.83046 Luk, Jonathan; Oh, Sung-Jin 42 2019 Proof of linear instability of the Reissner-Nordström Cauchy horizon under scalar perturbations. Zbl 1373.35306 Luk, Jonathan; Oh, Sung-Jin 40 2017 Improved decay for solutions to the linear wave equation on a Schwarzschild black hole. Zbl 1208.83068 Luk, Jonathan 37 2010 On the local existence for the characteristic initial value problem in general relativity. Zbl 1262.83011 Luk, Jonathan 36 2012 Local propagation of impulsive gravitational waves. Zbl 1316.35281 Luk, Jonathan; Rodnianski, Igor 35 2015 The null condition and global existence for nonlinear wave equations on slowly rotating Kerr spacetimes. Zbl 1280.35154 Luk, Jonathan 31 2013 Instability results for the wave equation in the interior of Kerr black holes. Zbl 1346.83044 Luk, Jonathan; Sbierski, Jan 31 2016 Weak null singularities in general relativity. Zbl 1377.83062 Luk, Jonathan 29 2018 Nonlinear interaction of impulsive gravitational waves for the vacuum Einstein equations. Zbl 1397.35308 Luk, Jonathan; Rodnianski, Igor 26 2017 A vector field method approach to improved decay for solutions to the wave equation on a slowly rotating Kerr black hole. Zbl 1267.83065 Luk, Jonathan 24 2012 Strong cosmic censorship in spherical symmetry for two-ended asymptotically flat initial data II: the exterior of the Black Hole region. Zbl 1428.35588 Luk, Jonathan; Oh, Sung-Jin 23 2019 A new continuation criterion for the relativistic Vlasov-Maxwell system. Zbl 1309.35174 Luk, Jonathan; Strain, Robert M. 19 2014 Stability of vacuum for the Landau equation with moderately soft potentials. Zbl 1423.35069 Luk, Jonathan 18 2019 A fully anisotropic mechanism for formation of trapped surfaces in vacuum. Zbl 1311.35311 Klainerman, Sergiu; Luk, Jonathan; Rodnianski, Igor 18 2014 Stable shock formation for nearly simple outgoing plane symmetric waves. Zbl 1402.35173 Speck, Jared; Holzegel, Gustav; Luk, Jonathan; Wong, Willie 17 2016 Trapped surfaces in vacuum arising dynamically from mild incoming radiation. Zbl 1367.83001 An, Xinliang; Luk, Jonathan 16 2017 Strichartz estimates and moment bounds for the relativistic Vlasov-Maxwell system. Zbl 1337.35150 Luk, Jonathan; Strain, Robert M. 16 2016 High-frequency backreaction for the Einstein equations under polarized \(\mathbb U(1)\)-symmetry. Zbl 1412.35327 Huneau, Cécile; Luk, Jonathan 12 2018 Asymptotic properties of linear field equations in anti-De Sitter space. Zbl 1448.83003 Holzegel, Gustav; Luk, Jonathan; Smulevici, Jacques; Warnick, Claude 12 2020 The interior of dynamical extremal black holes in spherical symmetry. Zbl 1420.35403 Gajic, Dejan; Luk, Jonathan 11 2019 The hidden null structure of the compressible Euler equations and a prelude to applications. Zbl 1441.35190 Luk, Jonathan; Speck, Jared 11 2020 Quantitative decay rates for dispersive solutions to the Einstein-scalar field system in spherical symmetry. Zbl 1326.35385 Luk, Jonathan; Oh, Sung-Jin 9 2015 Solutions to the Einstein-scalar-field system in spherical symmetry with large bounded variation norms. Zbl 1403.35292 Luk, Jonathan; Oh, Sung-Jin; Yang, Shiwu 7 2018 Einstein equations under polarized \(\mathbb{U}(1)\) symmetry in an elliptic gauge. Zbl 1398.35237 Huneau, Cécile; Luk, Jonathan 6 2018 The Vlasov-Poisson-Landau system in the weakly collisional regime. Zbl 1522.35505 Chaturvedi, Sanchit; Luk, Jonathan; Nguyen, Toan T. 3 2023 Dynamical black holes with prescribed masses in spherical symmetry. Zbl 1431.83099 Luk, Jonathan; Oh, Sung-Jin; Yang, Shiwu 2 2019 A scattering theory approach to Cauchy horizon instability and applications to mass inflation. Zbl 1521.83136 Luk, Jonathan; Oh, Sung-Jin; Shlapentokh-Rothman, Yakov 2 2023 Phase mixing for solutions to 1D transport equation in a confining potential. Zbl 1500.35034 Chaturvedi, Sanchit; Luk, Jonathan 1 2022 Global nonlinear stability of large dispersive solutions to the Einstein equations. Zbl 1503.35225 Luk, Jonathan; Oh, Sung-Jin 1 2022 Asymptotically Kasner-like singularities. Zbl 07732558 Fournodavlos, Grigorios; Luk, Jonathan 1 2023 The Vlasov-Poisson-Landau system in the weakly collisional regime. Zbl 1522.35505 Chaturvedi, Sanchit; Luk, Jonathan; Nguyen, Toan T. 3 2023 A scattering theory approach to Cauchy horizon instability and applications to mass inflation. Zbl 1521.83136 Luk, Jonathan; Oh, Sung-Jin; Shlapentokh-Rothman, Yakov 2 2023 Asymptotically Kasner-like singularities. Zbl 07732558 Fournodavlos, Grigorios; Luk, Jonathan 1 2023 Phase mixing for solutions to 1D transport equation in a confining potential. Zbl 1500.35034 Chaturvedi, Sanchit; Luk, Jonathan 1 2022 Global nonlinear stability of large dispersive solutions to the Einstein equations. Zbl 1503.35225 Luk, Jonathan; Oh, Sung-Jin 1 2022 Asymptotic properties of linear field equations in anti-De Sitter space. Zbl 1448.83003 Holzegel, Gustav; Luk, Jonathan; Smulevici, Jacques; Warnick, Claude 12 2020 The hidden null structure of the compressible Euler equations and a prelude to applications. Zbl 1441.35190 Luk, Jonathan; Speck, Jared 11 2020 Strong cosmic censorship in spherical symmetry for two-ended asymptotically flat initial data. I: The interior of the black hole region. Zbl 1429.83046 Luk, Jonathan; Oh, Sung-Jin 42 2019 Strong cosmic censorship in spherical symmetry for two-ended asymptotically flat initial data II: the exterior of the Black Hole region. Zbl 1428.35588 Luk, Jonathan; Oh, Sung-Jin 23 2019 Stability of vacuum for the Landau equation with moderately soft potentials. Zbl 1423.35069 Luk, Jonathan 18 2019 The interior of dynamical extremal black holes in spherical symmetry. Zbl 1420.35403 Gajic, Dejan; Luk, Jonathan 11 2019 Dynamical black holes with prescribed masses in spherical symmetry. Zbl 1431.83099 Luk, Jonathan; Oh, Sung-Jin; Yang, Shiwu 2 2019 Shock formation in solutions to the \(2D\) compressible Euler equations in the presence of non-zero vorticity. Zbl 1409.35142 Luk, Jonathan; Speck, Jared 51 2018 Weak null singularities in general relativity. Zbl 1377.83062 Luk, Jonathan 29 2018 High-frequency backreaction for the Einstein equations under polarized \(\mathbb U(1)\)-symmetry. Zbl 1412.35327 Huneau, Cécile; Luk, Jonathan 12 2018 Solutions to the Einstein-scalar-field system in spherical symmetry with large bounded variation norms. Zbl 1403.35292 Luk, Jonathan; Oh, Sung-Jin; Yang, Shiwu 7 2018 Einstein equations under polarized \(\mathbb{U}(1)\) symmetry in an elliptic gauge. Zbl 1398.35237 Huneau, Cécile; Luk, Jonathan 6 2018 Proof of linear instability of the Reissner-Nordström Cauchy horizon under scalar perturbations. Zbl 1373.35306 Luk, Jonathan; Oh, Sung-Jin 40 2017 Nonlinear interaction of impulsive gravitational waves for the vacuum Einstein equations. Zbl 1397.35308 Luk, Jonathan; Rodnianski, Igor 26 2017 Trapped surfaces in vacuum arising dynamically from mild incoming radiation. Zbl 1367.83001 An, Xinliang; Luk, Jonathan 16 2017 Instability results for the wave equation in the interior of Kerr black holes. Zbl 1346.83044 Luk, Jonathan; Sbierski, Jan 31 2016 Stable shock formation for nearly simple outgoing plane symmetric waves. Zbl 1402.35173 Speck, Jared; Holzegel, Gustav; Luk, Jonathan; Wong, Willie 17 2016 Strichartz estimates and moment bounds for the relativistic Vlasov-Maxwell system. Zbl 1337.35150 Luk, Jonathan; Strain, Robert M. 16 2016 Local propagation of impulsive gravitational waves. Zbl 1316.35281 Luk, Jonathan; Rodnianski, Igor 35 2015 Quantitative decay rates for dispersive solutions to the Einstein-scalar field system in spherical symmetry. Zbl 1326.35385 Luk, Jonathan; Oh, Sung-Jin 9 2015 A new continuation criterion for the relativistic Vlasov-Maxwell system. Zbl 1309.35174 Luk, Jonathan; Strain, Robert M. 19 2014 A fully anisotropic mechanism for formation of trapped surfaces in vacuum. Zbl 1311.35311 Klainerman, Sergiu; Luk, Jonathan; Rodnianski, Igor 18 2014 The null condition and global existence for nonlinear wave equations on slowly rotating Kerr spacetimes. Zbl 1280.35154 Luk, Jonathan 31 2013 On the local existence for the characteristic initial value problem in general relativity. Zbl 1262.83011 Luk, Jonathan 36 2012 A vector field method approach to improved decay for solutions to the wave equation on a slowly rotating Kerr black hole. Zbl 1267.83065 Luk, Jonathan 24 2012 Improved decay for solutions to the linear wave equation on a Schwarzschild black hole. Zbl 1208.83068 Luk, Jonathan 37 2010 all cited Publications top 5 cited Publications all top 5 Cited by 309 Authors 22 Luk, Jonathan 15 Gajic, Dejan 14 Speck, Jared 12 Aretakis, Stefanos 11 Rodnianski, Igor 10 Shlapentokh-Rothman, Yakov 9 An, Xinliang 9 Angelopoulos, Yannis 8 Costa, João Lopes 7 Dafermos, Mihalis 7 Hintz, Peter 7 Holzegel, Gustav 6 Li, Junbin 6 Yin, Huicheng 5 Chaturvedi, Sanchit 5 Oh, Sung-Jin 5 Valiente Kroon, Juan Antonio 4 Buckmaster, Tristan 4 Chruściel, Piotr Tadeusz 4 Czimek, Stefan 4 Disconzi, Marcelo Mendes 4 Fournodavlos, Grigorios 4 Franzen, Anne T. 4 Girão, Pedro Martins 4 Graf, Olivier 4 Han-Kwan, Daniel 4 Hilditch, David 4 Hou, Fei 4 Kehle, Christoph 4 Ma, Siyuan 4 Moschidis, Georgios 4 Snelson, Stanley 4 Strain, Robert M. 4 Tohaneanu, Mihai 4 Touati, Arthur 4 Van de Moortel, Maxime 4 Wang, Xuecheng 4 Wei, Changhua 4 Zhang, Lin 3 Beyer, Florian 3 Chen, Haoyang 3 Donninger, Roland 3 Henderson, Christopher 3 Mars, Marc 3 Metcalfe, Jason L. 3 Natário, José 3 Sbierski, Jan J. 3 Schlag, Wilhelm 3 Shao, Arick 3 Silva, Jorge Drumond 3 Soffer, Avraham 3 Tataru, Daniel 3 Vasy, András 3 Wong, Willie Wai-Yeung 3 Xu, Gang 3 Yang, Dongcheng 3 Yang, Shiwu 3 Zhao, Peng 2 Abbrescia, Leonardo Enrique 2 Andersson, Lars Åke 2 Athanasiou, Nikolaos 2 Blue, Pieter 2 Cao, Chuqi 2 Cao, Yunbai 2 Chen, Geng 2 Cheung, Ka-Luen 2 Coley, Alan Albert 2 Dias, Óscar J. C. 2 Duan, Renjun 2 Gasperín, Edgar 2 Hadzic, Mahir 2 Hoang, Vu Phuong 2 Hollands, Stefan 2 Huicheng, Yin 2 Huneau, Cécile 2 Isenberg, James A. 2 Jang, Jin Woo 2 Jang, Juhi 2 Ji, Shanming 2 Kehrberger, Leonhard M. A. 2 Kim, Chanwoo 2 Klainerman, Sergiu 2 Kunze, Markus 2 Landsman, Nicolaas P. 2 Laul, Parul 2 Le, Pengyu 2 Liu, Jue 2 Lu, Zhu 2 Mei, Ming 2 Mondino, Andrea 2 Nguyen, Toan Trong 2 Oliver, Jesus Angel 2 Oliynyk, Todd Andrew 2 Ong, Yen Chin 2 Paetz, Tim-Torben 2 Raphael, Pierre 2 Reall, Harvey S. 2 Rickard, Calum 2 Ripley, Justin L. 2 Sanchez-Perez, Gabriel ...and 209 more Authors all top 5 Cited in 74 Serials 42 Communications in Mathematical Physics 26 Annals of PDE 25 Classical and Quantum Gravity 20 Annales Henri Poincaré 11 SIAM Journal on Mathematical Analysis 11 Journal of High Energy Physics 9 General Relativity and Gravitation 9 Journal of Mathematical Physics 8 Archive for Rational Mechanics and Analysis 8 Journal of Differential Equations 8 Journal of Hyperbolic Differential Equations 7 Advances in Mathematics 7 Annals of Mathematics. Second Series 7 Kinetic and Related Models 6 Inventiones Mathematicae 6 Analysis & PDE 5 Journal of Functional Analysis 5 Communications in Partial Differential Equations 4 Letters in Mathematical Physics 4 Duke Mathematical Journal 4 Discrete and Continuous Dynamical Systems 4 Journal of the European Mathematical Society (JEMS) 3 Communications on Pure and Applied Mathematics 3 American Journal of Mathematics 3 Journal of the American Mathematical Society 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 Journal of Nonlinear Science 3 Oberwolfach Reports 2 Mathematical Methods in the Applied Sciences 2 Nonlinearity 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Transactions of the American Mathematical Society 2 Bulletin of the American Mathematical Society. New Series 2 Calculus of Variations and Partial Differential Equations 2 Selecta Mathematica. New Series 2 Communications in Contemporary Mathematics 2 Nonlinear Analysis. Real World Applications 2 Foundations of Physics 2 Journal of Physics A: Mathematical and Theoretical 2 Analysis and Mathematical Physics 2 Séminaire Laurent Schwartz. EDP et Applications 2 Pure and Applied Analysis 2 Probability and Mathematical Physics 1 Applicable Analysis 1 Journal of Mathematical Analysis and Applications 1 Journal of Statistical Physics 1 Acta Mathematica Vietnamica 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Dissertationes Mathematicae 1 Journal of Differential Geometry 1 Journal of the London Mathematical Society. Second Series 1 Memoirs of the American Mathematical Society 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Proceedings of the American Mathematical Society 1 Quarterly of Applied Mathematics 1 Chinese Annals of Mathematics. Series B 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Acta Mathematicae Applicatae Sinica. English Series 1 Asymptotic Analysis 1 Geometric and Functional Analysis. GAFA 1 Annals of Physics 1 Indagationes Mathematicae. New Series 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Mathematical Physics, Analysis and Geometry 1 Journal of Mathematical Fluid Mechanics 1 Journal of Nonlinear Mathematical Physics 1 Journal of Evolution Equations 1 Advanced Nonlinear Studies 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Science China. Mathematics 1 Forum of Mathematics, Pi 1 Forum of Mathematics, Sigma 1 EMS Surveys in Mathematical Sciences 1 Electronic Research Archive all top 5 Cited in 37 Fields 268 Partial differential equations (35-XX) 200 Relativity and gravitational theory (83-XX) 65 Differential geometry (53-XX) 56 Fluid mechanics (76-XX) 32 Global analysis, analysis on manifolds (58-XX) 32 Quantum theory (81-XX) 27 Statistical mechanics, structure of matter (82-XX) 11 Optics, electromagnetic theory (78-XX) 10 Algebraic geometry (14-XX) 10 Dynamical systems and ergodic theory (37-XX) 7 Astronomy and astrophysics (85-XX) 6 Mechanics of particles and systems (70-XX) 4 Operator theory (47-XX) 3 General and overarching topics; collections (00-XX) 3 Functions of a complex variable (30-XX) 3 Manifolds and cell complexes (57-XX) 3 Geophysics (86-XX) 2 Real functions (26-XX) 2 Special functions (33-XX) 2 Approximations and expansions (41-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Functional analysis (46-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Geometry (51-XX) 2 Numerical analysis (65-XX) 2 Mechanics of deformable solids (74-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Systems theory; control (93-XX) 2 Information and communication theory, circuits (94-XX) 1 History and biography (01-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Measure and integration (28-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Ordinary differential equations (34-XX) 1 Integral transforms, operational calculus (44-XX) 1 Convex and discrete geometry (52-XX) 1 Biology and other natural sciences (92-XX) Citations by Year